Unit 9 Review

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to the volume of the water in the fishbowl in cubic inches?

• 2,144.66 in³

• 17,157.28 in³

• 5,461.67 in³

• 6,433.98 in³

Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 0.75 feet wide, 15.2 inches long, and 6.5 inches tall. How many square inches of clear plastic will Thomas need to build the lateral surface area of the container?

• 207.35 in²

• 314.6 in²

• 588.2 in²

• 889.2 in²

A container is shaped like a triangular prism. Each base of the container is an equilateral triangle with the dimensions shown. The container has a height of 15 centimeters. What is the lateral surface area of the container in square centimeters?

• 18 cm²

• 306 cm²

• 270 cm ²

• 33 cm²

A sphere and its dimension are shown in. the diagram. Which measurement is closest to the volume of the sphere in cubic inches?

• 1,325 in³

• 188.5 in³

• 94.2 in³

• 1,767.1 in³

Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and the cylinder is true?

• The volume of the cylinder is about 377 in³ greater than the volume of the cone.

• The volume of the cylinder is about 377 in³ less than the volume of the cone.

• The volume of the cylinder is about 25 in³ greater than the volume of the cone.

• The volume of the cylinder is about 25 in³ less than the volume of the cone.

An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are shown in the diagram. Which measurement is closest to the total surface area of the container in square inches?

• 424.12 in²

• 791.68 in²

• 339.29 in²

• 282.74 in²

A roll of quarters is shaped like a cylinder and contains 40 quarters. Each quarter has a thickness of 1.75 mm and a diameter of 24.26 mm. Which measurement is closest to the volume of one roll of quarters in cubic millimeters?

• 5,335 mm³

• 6,256 mm³

• 129,428 mm³

• 32,357 mm³

A cone and a cylinder with their dimensions are shown in the diagram. Which measurement is closest to the difference between the volumes of these figures in cubic inches?

• 75 in³

• 226 in³

• 101 in³

• 151 in³

Carla is building a box shaped like a rectangular prism. she will cover each side of the box with a mirror. The base of the box is a square with side lengths shown in the diagram. If the height of the box is 16 inches, how many square inches of mirror will Carla need to cover all sides of the box?

• Carla needs 896 square inches of mirror.

• Carla needs 3,136 square inches of mirror.

• Carla needs 1,092 square inches of mirror.

• Carla needs 1,288 square inches of mirror.

A hatbox in the shape of a cylinder will be covered with decorative paper. The diagram shows the dimensions of the hatbox. Which measurement is closest to the number of square inches of decorative paper needed to cover the entire hatbox?

• 829.38 in²

• 427.26 in²

• 2,463.01 in²

• 477.52 in²