• similar solids

• Find dimensions, surface area, and volume of similar solids.

Find Missing Linear Measures

These cones are similar. What is the radius of Cone A to the nearest tenth?

Since the two cones are similar, the ratios of their corresponding linear measures are proportional.

Words

Variable

Equation

Find Missing Linear Measures

Write the proportion.

Divide each side by 12.

Answer: The radius of cone A is about 4.7 centimeters.

Find the cross products.

Multiply.

Simplify.

1. A

2. B

3. C

4. D0% 0%0%0%

A. 6.5 cm

B. 7.0 cm

C. 7.5 cm

D. 8.0 cm

The cones are similar. What is the radius of Cone B to the nearest tenth?

Cone A Cone B

Find Surface Area of a Similar Solid

These rectangular prisms are similar. Find the total surface area of Prism A.

The ratio of the measures of prism A to prism B is

Find Surface Area of a Similar Solid

Answer: The surface area of prism A is 846 square inches.

Write a proportion.

Substitute the known values. Let S represent the surface area.

Simplify.

Find the cross products.

Divide each side by 4.

Simplify.

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 476 cm2

B. 528 cm2

C. 562 cm2

D. 640 cm2

These square pyramids are similar. Find the total surface area of Pyramid A.

A triangular prism has a volume of 12 cm3. Suppose the dimensions are tripled. What is the volume of the new prism?

A. 36 cm3 B. 96 cm3 C. 324 cm3 D. 1,728 cm3

Read the Item

Find Volume of a Similar Solid

Solve the Item

Find Volume of a Similar Solid

Answer: So, the volume of larger prism is 324 cubic centimeters. The answer is C.

Write a proportion.

Substitute the known values. Let V represent the volume of the larger prism.

Simplify.

Find the cross products.

Simplify.

Find Volume of a Similar Solid

1. A

2. B

3. C

4. D0% 0%0%0%

A. 75 in3

B. 120 in3

C. 200 in3

D. 675 in3

A hexagonal prism has a volume of 25 cubic inches. Suppose the dimensions are tripled. What is the volume of the new prism?

1. A

2. B

3. C

4. D0% 0%0%0%

A. surface area

B. lateral area

C. slant height

D. angle

Thirteen inches is the measure of what part of the pyramid?

(over Lesson 7-8)

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 260 in2

B. 360 in2

C. 195 in2

D. 140 in2

Find the lateral area of the pyramid. Round to the nearest tenth if necessary.

(over Lesson 7-8)

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 33 in2

B. 53 in2

C. 260 in2

D. 360 in2

Find the total surface area of the pyramid. Round to the nearest tenth if necessary.

(over Lesson 7-8)

1. A

2. B

3. C

4. D0% 0%0%0%

A. 1 oz

B. 2 oz

C. 3 oz

D. 4 oz

(over Lesson 7-8)

For an art project, only the sides of the pyramid are to be painted. If 1 ounce of enamel paint covers about 280 square inches and 2 coats are to be applied, how much paint should students have on hand for each pyramid?

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 20 m2

B. 78 m2

C. 127 m2

D. 274 m2

What is the approximate surface area of the pyramid?

(over Lesson 7-8)