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Holt CA Course 2 1-1 Evaluating Algebraic Expressions 10-1: Three-Dimensional Figures 10-2: Volume of Prisms and Cylinders 10-3: Volume of Pyramids and Cones 10-4: Surface Area of Prisms and Cylinders 10-5: Surface Area of Pyramids and Cones 10-6: Spheres 10-7: Scaling Three-Dimensional Figures Preview Preview Lesson Quizzes

10-1: Three-Dimensional Figures 10-2: Volume of Prisms and Cylinders

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Lesson Quizzes. Preview. 10-1: Three-Dimensional Figures 10-2: Volume of Prisms and Cylinders 10-3: Volume of Pyramids and Cones 10-4: Surface Area of Prisms and Cylinders 10-5: Surface Area of Pyramids and Cones 10-6: Spheres 10-7: Scaling Three-Dimensional Figures. - PowerPoint PPT Presentation

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Page 1: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

10-1: Three-Dimensional Figures

10-2: Volume of Prisms and Cylinders

10-3: Volume of Pyramids and Cones

10-4: Surface Area of Prisms and Cylinders

10-5: Surface Area of Pyramids and Cones

10-6: Spheres

10-7: Scaling Three-Dimensional Figures

PreviewPreview

Lesson Quizzes

Page 2: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-1 Three-Dimensional Figures

Lesson Quiz: Part IDescribe the bases and faces of each figure. Then name each figure.

Two pentagonal bases, 5 rectangular faces; pentagonal prism

One square base, 4 triangular faces; square pyramid

1.

2.

Page 3: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part II

Classify each figure as a polyhedron or not a polyhedron. Then name the figure.

polyhedron, rectangular prism

polyhedron, triangular prism

3.

4.

10-1 Three-Dimensional Figures

Page 4: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-2 Volume of Prisms and Cylinders

Lesson QuizFind the volume of each figure to the nearest tenth. Use 3.14 for .

306 in3942 in3 160.5 in3

No; the volume would be quadrupled because you have to use the square of the radius to find the volume.

10 in.

8.5 in.3 in.

12 in.12 in.

2 in.

15 in.10.7 in.

1. 3.2.

4. Explain whether doubling the radius of the cylinder above will double the volume.

Page 5: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-3 Volume of Pyramids and Cones

Lesson Quiz: Part l

Find the volume of each figure to the nearest tenth. Use 3.14 for .

78.5 in3

6.3 m3

1. the triangular pyramid

2. the cone

Page 6: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part ll

Yes; the volume is one-third the product of the base area and the height. So if you triple the height, the product would be tripled.

3. Explain whether tripling the height of the triangular pyramid would triple the volume.

10-3 Volume of Pyramids and Cones

Page 7: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-4 Surface Area of Prisms and Cylinders

3. All outer surfaces of a box are covered with gold foil, except the bottom. The box measures 6 in. long, 4 in. wide, and 3 in. high. How much gold foil was used?

Lesson QuizFind the surface area of each figure to the nearest tenth. Use 3.14 for .

1. the triangular prism

2. the cylinder320.3 in2

360 cm2

84 in2

Page 8: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic ExpressionsLesson Quiz: Part I

Find the surface area of each figure to the nearest tenth. Use 3.14 for .

1. the triangular pyramid

2. the cone175.8 in2

6.2 m2

10-5 Surface Area of Pyramids and Cones

Page 9: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

3. Tell whether doubling the dimensions of a cone will double the surface area.

Lesson Quiz: Part II

It will more than double the surface area because you square the radius to find the area of the base.

10-5 Surface Area of Pyramids and Cones

Page 10: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-6 Spheres

Lesson QuizFind the volume of each sphere, both in terms of and to the nearest tenth. Use 3.14 for .

1. r = 4 ft 2. d = 6 m

Find the surface area of each sphere, both in terms of and to the nearest tenth. Use 3.14 for .

36m3, 113.0 m385.3ft3, 267.8 ft3

2.25 mi2, 7.1 mi21936 in2, 6079.0 in2

3. r = 22 in 4. d = 1.5 mi

5. A basketball has a circumference of 29 in. To the nearest cubic inch, what is its volume? 412 in3

Page 11: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions10-7 Scaling Three-Dimensional Figures

A 10 cm cube is built from small cubes, each 1 cm on an edge. Compare the following values.

1. the edge lengths of the two cubes

2. the surface areas of the two cubes

3. the volumes of the two cubes

Lesson Quiz: Part I

100:1

10:1

1000:1

Page 12: 10-1:  Three-Dimensional Figures 10-2:  Volume of Prisms and Cylinders

Holt CA Course 2

1-1 Evaluating Algebraic Expressions

4. The surface area of a prism is 600 ft2. What is the surface area of a similar prism that is smaller by a scale factor of ?

5. A cement truck is pouring cement for a new 4 in. thick driveway. The driveway is 90 ft long and 20 ft wide. How long will it take the truck to pour the cement if it releases 10 ft3 of cement per minute?

Lesson Quiz: Part II

66.7 ft2

60 min

1 3

10-7 Scaling Three-Dimensional Figures