Surface Areas and Volumes of Prisms

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

7.G.B.6, 8.G.C.9, 6.G.A.4

+2

Standards-aligned

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

DRAG AND DROP QUESTION

1 min • 2 pts

Two similar prisms have areas of 112 cm squared and 252 cm squared. What is the ratio of their volumes?
Small: large
(a) : (b)

8

27

4

9

64

729

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.

3167 ft³

2337 ft³

2413 ft³

2714 ft³

Two similar rectangular prisms have a surface area of 240 square meters and 735 square meters. If the volume of the larger prism is 10290 cubic meters, what is the volume of the smaller prism?

Mathematical Equivalence

ON

4.

DROPDOWN QUESTION

1 min • 1 pt

Monica got a new fish tank 5 times larger than her old one. The surface area of this tank is (a) larger than her old one.

25 times

10

5

125

15

By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3?

1/3

1/6

1/9

1/27

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

288 m³

112.5 m³

450 m³

360 m³

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The cylinders shown are similar. Find the missing height of the larger cylinder.

192 cm

8 cm

48 cm

36 cm

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Surface Areas and Volumes of Prisms

15 questions

Two similar prisms have areas of 112 cm squared and 252 cm squared. What is the ratio of their volumes?
Small: large
(a) : (b)

Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.

Two similar rectangular prisms have a surface area of 240 square meters and 735 square meters. If the volume of the larger prism is 10290 cubic meters, what is the volume of the smaller prism?

Monica got a new fish tank 5 times larger than her old one. The surface area of this tank is (a) larger than her old one.

By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3?

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

The cylinders shown are similar. Find the missing height of the larger cylinder.

Two similar rectangular prisms have widths of 30 centimeters and 50 centimeters. If the larger prism has a volume of 812.5 cm³, then what is the volume of the smaller prism?

Two rectangular prisms are similar. The smaller prism has a volume of 24 in³ and the larger prism has a volume of 375 in³. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism?

Which of the following measurements are related to the scale factor? Check all that apply.

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Discover more resources for Mathematics

Surface Areas and Volumes of Prisms

15 questions

Two similar prisms have areas of 112 cm squared and 252 cm squared. What is the ratio of their volumes?Small: large​ (a) : ​ (b)

Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.

Two similar rectangular prisms have a surface area of 240 square meters and 735 square meters. If the volume of the larger prism is 10290 cubic meters, what is the volume of the smaller prism?

Monica got a new fish tank 5 times larger than her old one. The surface area of this tank is ​ (a) larger than her old one.

By what factor would the volume of a triangular prism decrease if the dimensions (side lengths) were decreased by a factor of 1/3?

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m3, then what is the volume of the smaller cylinder?

The cylinders shown are similar. Find the missing height of the larger cylinder.

Two similar rectangular prisms have widths of 30 centimeters and 50 centimeters. If the larger prism has a volume of 812.5 cm3, then what is the volume of the smaller prism?

Two rectangular prisms are similar. The smaller prism has a volume of 24 in3 and the larger prism has a volume of 375 in3. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism?

Which of the following measurements are related to the scale factor? Check all that apply.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Two similar prisms have areas of 112 cm squared and 252 cm squared. What is the ratio of their volumes?
Small: large
(a) : (b)

Monica got a new fish tank 5 times larger than her old one. The surface area of this tank is (a) larger than her old one.

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

Two similar rectangular prisms have widths of 30 centimeters and 50 centimeters. If the larger prism has a volume of 812.5 cm³, then what is the volume of the smaller prism?

Two rectangular prisms are similar. The smaller prism has a volume of 24 in³ and the larger prism has a volume of 375 in³. What is the ratio of the surface area of the smaller prism to the surface area of the larger prism?