Volume and Surface Area

A cylinder and its dimensions are shown in the diagram.

Which equation can be used to find V, the volume of the cylinder in cubic inches?

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A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

• 534 cubic feet

• 1,335 cubic feet

• 691 cubic feet

• 1696 cubic feet

A cone and its dimensions are shown in the diagram.

Which measurement is closest to the volume of the cone in cubic inches?

• 186.38 cubic inches

• 248.50 cubic inches

• 745.51 cubic inches

• 62.13 cubic inches

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

• 2,144.66 cubic inches

• 17,157.28 cubic inches

• 5,461.67 cubic inches

• 6,433.98 cubic inches

A rectangular prism and its dimensions are shown in the diagram.

What is the total surface area of this prism in square inches?

• 419.5 square inches

• 538.2 square inches

• 237.5 square inches

• 952.7 square inches

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 square inches

• 791.68 square inches

• 339.29 square inches

• 282.74 square inches

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?

• 270 square centimeters

• 880 square centimeters

• 120 square centimeters

• 430 square centimeters

Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the dimensions shown below.

Including the doors, what is the lateral surface area of the storage shed in square feet?

• 784 square feet

• 266 square feet

• 532 square feet

• 336 square feet

A container that holds sugar is shaped like a cylinder. The radius of the container is 5 inches, and the height of the container is 12 inches. Which measurement is closest to the volume of the container in cubic inches?

• 503 cubic inches

• 385 cubic inches

• 519 cubic inches

• 942 cubic inches

A ball shaped like a sphere has a diameter of 15 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?

• 3,526.45 cubic centimeters

• 7,495.12 cubic centimeters

• 1,766.25 cubic centimeters

• 9,562.34 cubic centimeters