Volume and Surface Area Quick Check

Which of the following visual representations correctly displays a relationship between sets of real numbers?

• A

• B

• C

• D

Mario measured a cylinder. The diameter of the cylinder is 12 inches, and its height is 36 inches. Which equation can Mario use to find V, the volume of the cylinder in cubic inches?

A cylinder has a radius of 4 inches and a height of 14 inches. What is the volume of the cylinder in cubic inches?

• A. 56π in³

• B. 224π in³

• C. 96π in³

• D. 896π in³

Oscar needs to fill a sphere-shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth?

• 2,143.6 in³

• 714.5 in³

• 267.9 in³

• 150.7 in³

Joyce has a cone-shaped planter hanging on her back porch. If the planter has a radius 6.8 inches and a height of 12.2 inches, what is the total amount of soil that the planter will hold to the nearest tenth?

• 590.5 in³

• 1,771.4 in³

• 145.2 in³

• 196.8 in³

Terrance needs to find the total surface area of a box in the shape of a square prism. The box has a height of 15 centimeters and the area of the base of the box is 25 square centimeters. What is the total surface area of the box?

• 350 cm²

• 125 cm²

• 300 cm²

• 925 cm²

The can shown below has a diameter of 5 inches and a height of 6.5 inches. The can’s label covers the entire lateral surface of the can. How many square inches are covered by the label of the can?

• 204.1 in²

• 39.25 in²

• 68 in²

• 102.05 in²

What is the total surface area of the triangular prism?

• 100 cm²

• 200 cm²

• 206 cm²

• 264 cm²

What is the lateral surface area of the triangular prism shown?

• A

• B

• C

• D

A rock-climbing tower at a recreation center can be

modeled as a cone with a diameter of 11 feet and a

height of 44 feet. Which measurement is closest to

the volume of the rock-climbing tower in cubic feet?

• A

• B

• C

• D