Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Geometry M3: Unit 1 Practice Exam

Short Answer

1. Given a regular hexagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.

2. The area of a regular hexagon is 35 in.2 Find the length of a side. Round your answer to the nearest tenth.

3. Find the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long. Round your answer to the nearest tenth.

4. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7 centimeters, what will be the exact area of each hexagonal shape?

5. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.

6. Find the area of an equilateral triangle with radius 8 3 m. Leave your answer in simplest radical form.

7. A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in simplest radical form.

Find the area of the circle. Leave your answer in terms of .

8.

Name: ________________________ ID: A

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9.

10. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 35 cm. To the nearest tenth, what is the area of the wheel?

11. Find the area of the figure to the nearest tenth.

12. Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.

13. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

14.

Name: ________________________ ID: A

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15.

Find the surface area of the cylinder in terms of .

16.

17.

Name: ________________________ ID: A

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18. Find the surface area of the cylinder to the nearest whole number.

19. The radius of the base of a cylinder is 39 in. and its height is 33 in.. Find the surface area of the cylinder in terms of .

Find the surface area of the pyramid shown to the nearest whole number.

20.

21.

Name: ________________________ ID: A

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22. Find the slant height x of the pyramid shown, to the nearest tenth.

23. Find the lateral area of the square pyramid shown, to the nearest whole number.

24. Find the surface area of the cone to the nearest tenth.

25. Find the surface area of a conical grain storage tank that has a height of 30 meters and a diameter of 14 meters. Round the answer to the nearest square meter.

Name: ________________________ ID: A

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26. Find the surface area of the cone in terms of .

27. Find the slant height of the cone to the nearest whole number.

28. The lateral area of a cone is 558 cm2 . The radius is 31 cm. Find the slant height to the nearest tenth.

Find the volume of the given prism. Round to the nearest tenth if necessary.

29.

Name: ________________________ ID: A

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30.

31.

32. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 4 inches for a patio if the concrete costs $41.00 per cubic yard?

Find the volume of the cylinder in terms of .

33.

34.

Name: ________________________ ID: A

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35. Find the volume of the composite space figure to the nearest whole number.

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

36.

37.

38. Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.

Name: ________________________ ID: A

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Find the volume of the cone shown as a decimal rounded to the nearest tenth.

39.

40.

41. Find the volume of the oblique cone shown. Round to the nearest tenth.

Name: ________________________ ID: A

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42. Find the volume of the oblique cone shown in terms of .

Find the surface area of the sphere with the given dimension. Leave your answer in terms of .

43. radius of 60 m

44. diameter of 14 cm

45. Find the surface area of a sphere with a circumference of 13 mm. Round to the nearest tenth.

46. A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

47.

48.

Name: ________________________ ID: A

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49. The volume of a sphere is 5000 m3. What is the surface area of the sphere to the nearest square meter?

50. The volume of a sphere is 1928 m3. What is the surface area of the sphere to the nearest tenth?

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

51.

52.

53.

54. Find the similarity ratio of a prism with the surface area of 81 m2 to a similar prism with the surface area of

361 m2 .

55. Find the similarity ratio of a cube with volume 216 ft3 to a cube with volume 1000 ft3 .

56. If the scale factor of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

Name: ________________________ ID: A

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57. A glass vase weighs 0.22 lb. How much does a similarly shaped vase of the same glass weigh if each dimension is 6 times as large?

58. The surface areas of two similar solids are 384 yd2 and 1057 yd2 . The volume of the larger solid is 1795 yd3. What is the volume of the smaller solid?

ID: A

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Geometry M3: Unit 1 Practice ExamAnswer Section

SHORT ANSWER

1. ANS: 60°; 60°

PTS: 1 DIF: L4 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 1 Finding Angle Measures KEY: regular polygon | multi-part question | hexagon | radius DOK: DOK 2

2. ANS: 3.7 in.

PTS: 1 DIF: L4 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 2 Finding the Area of a Regular Polygon KEY: regular polygon | hexagon | area | apothem | radius DOK: DOK 2

3. ANS: 940.5 in.2

PTS: 1 DIF: L3 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 2 Finding the Area of a Regular Polygon KEY: regular polygon | area | apothem | radius DOK: DOK 2

4. ANS:

73.5 3 cm2

PTS: 1 DIF: L3 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | hexagon | area | apothem | radius | word problem | problem solvingDOK: DOK 2

5. ANS: 166.3 m2

PTS: 1 DIF: L2 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | hexagon | area | apothem | radius DOK: DOK 2

ID: A

2

6. ANS:

144 3 m2

PTS: 1 DIF: L2 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | radiusDOK: DOK 2

7. ANS: 1875

23 m2

PTS: 1 DIF: L4 REF: 10-3 Areas of Regular PolygonsOBJ: 10-3.1 Find the area of a regular polygon STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1 TOP: 10-3 Problem 3 Using Special Triangles to Find Area KEY: regular polygon | radius | area | perimeter DOK: DOK 3

8. ANS: 12.96 m2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radiusDOK: DOK 2

9. ANS: 4.2025 m2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: area of a circle | radiusDOK: DOK 2

10. ANS: 97.5 cm2

PTS: 1 DIF: L4 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 1 Finding the Area of a Circle KEY: circumference | radius | diameter | area of a circle | word problem | problem solvingDOK: DOK 3

ID: A

3

11. ANS: 74.2 in.2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | areaDOK: DOK 2

12. ANS: 12.3 cm2

PTS: 1 DIF: L3 REF: 10-7 Areas of Circles and SectorsOBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5 TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle KEY: sector | circle | area | central angleDOK: DOK 2

13. ANS:

70 cm2 ; 266 cm2

PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area of a prism | lateral area | prism | surface area formulas | surface area | word problemDOK: DOK 2

14. ANS:

100 m2 ; 328 m2

PTS: 1 DIF: L2 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area formulas | lateral area | surface area | prism | surface area of a prismDOK: DOK 2

15. ANS:

322 m2 ; 332 m2

PTS: 1 DIF: L4 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 2 Using Formulas to Find Surface Area of a Prism KEY: surface area formulas | lateral area | surface area | prism | surface area of a prismDOK: DOK 2

ID: A

4

16. ANS:

350 cm2

PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: surface area of a cylinder | cylinder | surface area formulas | surface areaDOK: DOK 2

17. ANS:

522 in.2

PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: surface area of a cylinder | cylinder | surface area formulas | surface areaDOK: DOK 2

18. ANS:

3204 in.2

PTS: 1 DIF: L4 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: surface area of a cylinder | cylinder | surface area formulas | surface areaDOK: DOK 2

19. ANS:

5616 in.2

PTS: 1 DIF: L3 REF: 11-2 Surface Areas of Prisms and CylindersOBJ: 11-2.1 Find the surface area of a prism and a cylinder STA: MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-2 Problem 3 Finding Surface Area of a Cylinder KEY: cylinder | surface area of a cylinder | surface area formulas | surface area | word problemDOK: DOK 2

20. ANS:

95 ft2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid KEY: surface area of a pyramid | surface area | surface area formulas | pyramidDOK: DOK 2

ID: A

5

21. ANS:

740 m2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid KEY: surface area of a pyramid | surface area formulas | pyramid DOK: DOK 2

22. ANS: 6.2 mm

PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: pyramid | slant height of a pyramid | Pythagorean Theorem DOK: DOK 2

23. ANS:

3564 yd2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 2 Finding the Lateral Area of a Pyramid KEY: slant height of a pyramid | lateral area | pyramid | surface area formulas | Pythagorean TheoremDOK: DOK 2

24. ANS:

848.2 cm2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: surface area of a cone | surface area formulas | surface area | cone DOK: DOK 2

25. ANS:

831 m2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: cone | surface area of a cone | problem solving | word problem | surface area formulas | surface areaDOK: DOK 2

ID: A

6

26. ANS:

60 cm2

PTS: 1 DIF: L3 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 3 Finding the Surface Area of a Cone KEY: surface area of a cone | surface area formulas | surface area | cone DOK: DOK 2

27. ANS: 21 m

PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | slant height of a cone | Pythagorean Theorem DOK: DOK 2

28. ANS: 18 cm

PTS: 1 DIF: L2 REF: 11-3 Surface Areas of Pyramids and ConesOBJ: 11-3.1 Find the surface area of a pyramid and a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-3 Problem 4 Finding the Lateral Area of a Cone KEY: cone | lateral area | slant height of a cone DOK: DOK 2

29. ANS:

308.9 cm3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism KEY: volume of a rectangular prism | volume formulas | volume | prism DOK: DOK 2

30. ANS:

576 ft3

PTS: 1 DIF: L2 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism KEY: volume of a rectangular prism | volume formulas | volume | prism DOK: DOK 2

ID: A

7

31. ANS:

2046.0 yd3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 2 Finding the Volume of a Triangular PrismKEY: volume of a triangular prism | volume formulas | volume | prism DOK: DOK 2

32. ANS: $164.00

PTS: 1 DIF: L4 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 1 Finding the Volume of a Rectangular Prism KEY: volume of a rectangular prism | prism | problem solving | word problem | volume formulas | volumeDOK: DOK 2

33. ANS:

115.52 m3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 3 Finding the Volume of a CylinderKEY: volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2

34. ANS:

350 in.3

PTS: 1 DIF: L3 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 3 Finding the Volume of a CylinderKEY: volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2

35. ANS:

944 mm3

PTS: 1 DIF: L4 REF: 11-4 Volumes of Prisms and CylindersOBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder STA: MA.912.G.7.5| MA.912.G.7.7 TOP: 11-4 Problem 4 Finding Volume of a Composite FigureKEY: volume of a composite figure | cylinder | volume of a cylinder | composite space figure | volume of a rectangular prism | volume formulas | volume | prism DOK: DOK 2

ID: A

8

36. ANS:

605 cm3

PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 1 Finding Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume DOK: DOK 2

37. ANS:

1280 ft3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 2 Finding the Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem | slant height DOK: DOK 2

38. ANS:

7,680 cm3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 2 Finding the Volume of a Pyramid KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem | slant height DOK: DOK 2

39. ANS:

2205.4 m3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 3 Finding the Volume of a Cone KEY: volume of a cone | volume formulas | volume | cone DOK: DOK 2

40. ANS:

1139.4 yd3

PTS: 1 DIF: L2 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 3 Finding the Volume of a Cone KEY: volume of a cone | cone | volume formulas | volume DOK: DOK 2

ID: A

9

41. ANS:

707.9 in.3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 4 Finding the Volume of an Oblique Cone KEY: volume of a cone | oblique cone | volume formulas | volume DOK: DOK 2

42. ANS:

441 in.3

PTS: 1 DIF: L3 REF: 11-5 Volumes of Pyramids and ConesOBJ: 11-5.1 Find the volume of a pyramid and of a cone STA: MA.912.G.7.5| MA.912.G.7.7TOP: 11-5 Problem 4 Finding the Volume of an Oblique Cone KEY: volume of a cone | oblique cone | volume formulas | volume DOK: DOK 2

43. ANS:

14,400 m2

PTS: 1 DIF: L2 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 1 Finding the Surface Area of a Sphere KEY: surface area of a sphere | surface area formulas | surface area | sphereDOK: DOK 2

44. ANS:

196 cm2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 1 Finding the Surface Area of a Sphere KEY: surface area of a sphere | surface area formulas | surface area | sphereDOK: DOK 2

45. ANS:

53.8 mm2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 2 Finding Surface Area KEY: surface area of a sphere | surface area formulas | surface area | sphereDOK: DOK 2

ID: A

10

46. ANS:

39 cm2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 2 Finding Surface Area KEY: circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphereDOK: DOK 2

47. ANS:

3054 mm3

PTS: 1 DIF: L2 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 3 Finding the Volume of a Sphere KEY: volume of a sphere | sphere | volume formulas | volume DOK: DOK 2

48. ANS:

1,437 cm3

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 3 Finding the Volume of a Sphere KEY: volume of a sphere | sphere | volume formulas | volume DOK: DOK 2

49. ANS:

3033 m2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 4 Using Volume to Find Surface Area KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas | volume DOK: DOK 2

50. ANS:

1606.9 m2

PTS: 1 DIF: L3 REF: 11-6 Surface Areas and Volumes of SpheresOBJ: 11-6.1 Find the surface area and volume of a sphere STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7 TOP: 11-6 Problem 4 Using Volume to Find Surface Area KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas | volume DOK: DOK 2

ID: A

11

51. ANS: no

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 1 Identifying Similar SolidsKEY: similar solids | similarity ratio | rectangular prism DOK: DOK 2

52. ANS: yes; 1 : 3

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 1 Identifying Similar SolidsKEY: similar solids | similarity ratio | rectangular prism DOK: DOK 2

53. ANS: yes; 1 : 1.6

PTS: 1 DIF: L4 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 1 Identifying Similar SolidsKEY: similar solids | similarity ratio | cylinder DOK: DOK 2

54. ANS: 9 : 19

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 2 Finding the Scale FactorKEY: similarity ratio | surface areas of similar solids | prism DOK: DOK 2

55. ANS: 3 : 5

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 2 Finding the Scale FactorKEY: similarity ratio | volumes of similar solids DOK: DOK 2

56. ANS: The ratio of their corresponding areas is 9 : 196.The ratio of their corresponding volumes is 27 : 2744.

PTS: 1 DIF: L2 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 2 Finding the Scale FactorKEY: similarity ratio | volumes of similar solids DOK: DOK 1

ID: A

12

57. ANS: 47.52 lb

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 3 Using a Scale FactorKEY: similarity ratio | volumes of similar solids | word problem | problem solvingDOK: DOK 2

58. ANS:

393 yd3

PTS: 1 DIF: L3 REF: 11-7 Areas and Volumes of Similar SolidsOBJ: 11-7.1 Compare and find the areas and volumes of similar solids STA: MA.912.G.7.6 TOP: 11-7 Problem 3 Using a Scale FactorKEY: similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solidsDOK: DOK 2