Learning Target:

I can…

Find the surface area of rectangular prisms

Review Area Formulas

Rectangle :

b ∙ h

Triangle:

½ b ∙ h

Circle:

pi ∙ r²Trapezoid:

½ h∙ (b1 + b2)

3 – Dimensional Shapes

2 bases:

prism, named by the shape of its bases

all other shapes are rectangles

1 base:

pyramid, named by the shape of its base

all other shapes are triangles

In the figure below, describe the base, name the figure,

and name the part labeled CD.

SolidsSolids

The base is a rectangle.

The figure is a rectangular pyramid.

CD is a base edge.

A.Pentagonal pyramid

B.Rectangular prism

C.Pentagonal prism

D.Prism

You try!

Surface Area

The outside area of a 3-D figure

1. Find the area of each face

2. Add them together

Rectangular Prisms

20

7

4

Front _______

Back________

Side ________

Side ________

Top ________

Bottom_______

Total Surface Area: _________

You try

15

53

Front _______

Back________

Side ________

Side ________

Top ________

Bottom_______

Total Surface Area: _________

You try

11

7

21

Front _______

Back________

Side ________

Side ________

Top ________

Bottom_______

Total Surface Area: _________

Review

Kevin wants to paint the walls and ceiling of room. His room is 11 feet long, 12 feet wide and 8 feet high. How many square feet will he cover?

One gallon of paint will cover 200 ft² of surface area. How many gallons of paint does Kevin need to buy to paint his room?

Alisha wants to paint the walls of her bedroom. Her room is 18 feet long, 14 feet wide, and 10 feet high. The paint she decides to buy will cover 100 square feet. How many gallons will she need?

EXIT QUESTION

John wants to paint the walls of his kitchen. The kitchen is 10 feet long, 12 feet wide, and 11 feet tall.

How many square feet will his paint need to cover?

Learning Target:

I can…

Find the surface area of cylinders

Surface Area Formulas

SA = Area of t + b + s + s + f + b SA =

CylindersTop ________

Bottom_______

Cylinders7

15

Top ________

Bottom_______

Middle Section_______

Cylinders

12

20

Top ________

Bottom_______

Middle Section_______

What is the surface area of this soup can?

A. 516.6cm²

B. 527.5cm²

C. 153.9cm²

D. 296.7cm²

For small paving jobs, a contractor uses a roller pushed by a worker.

EXIT: What is the surface area of the can?

Learning Target:

I can…

Find the volume of a prism and cylinder

Volume

The space a 3-D object occupies

Volume of a Prism

V = l ∙ w ∙h

9

7

6

Cylinder

Use for formula

Find the volume – round to the nearest tenth

Find the volume – round to the nearest tenth

EXIT

A snack bar is offering two types of drinks. The first drink, “The Barrel” is cylindrical in shape with a diameter of 3 inches and a height of 10 inches. The second drink, “The Boxer,” is rectangular in shape with a square bottom of 3 inches per side and a height of 8 inches. If both drinks cost $1.99, which one is a better value? Why?

EXIT

Find the volume of the cylinder

Learning Target:

I can…

calculate surface area and volume

The cube shown below has a surface area of 150 square inches.

What is the length of each side of the cube?

The cube shown below has a surface area of 600 square inches.

What is the length of each side of the cube?

EXIT

For small paving jobs, a contractor uses a roller pushed by a worker.

Find the volume of a cylindrical cake that is 5 in. tall with a diameter of 15 in. Give your answer to the nearest whole unit.

884 in.³

Surface Area and Volume

Problem of the Day

(Thursday)

Discuss your reflections from yesterday

Volume Surface Area

1.

2.

3.

4.

5.

Learning Target:

I can…determine the scale factor for a change in dimensions

CHANGING DIMENSIONS:

Changing the length, width, height, or radius

SCALE FACTOR:

The number multiplied by the original figure/amount to get the new figure/amount

EXAMPLE:

4

6

By what scale factor will the area of the triangle increase if the base is doubled and the height is tripled?

If the length of the side of a square is doubled, what would happen to its perimeter?

a. It doubles

b. It triples

c. It quadruples

d. It gets smaller

If the length of the side of a square is doubled, what would happen to its area?

a. It doubles

b. It triples

c. It quadruples

d. Nothing happens

If the length of the radius of a square is doubled, what would happen to its area?

a. It doubles

b. It triples

c. It quadruples

d. Nothing happens

When one dimension is changed…

If you double the height of the prism

What happens to the following:

1. Surface area?

2. Volume?

32

5

The surface area of a cube is 150 square inches.

If you double the length of each side what is the new surface area?

By what scale factor will the surface area by reduced if the length of each side is reduced by half?

Cylinders

Remember: V =

15

4

A.New surface area? (Round to nearest tenth)

B.New volume?

The Graf company produces cylindrical barrels.

If the height of a barrel is reduced from 21 feet to 7 feet, what will happens to the volume of the barrel?

A.The volume triples.

B.The volume doubles.

C.The volume is reduced to one half of the original.

D.The volume is reduced to one third of the original.