Volume and Surface Area Review

Which is closest to the lateral surface area of a cylinder whose diameter is 18 feet and

whose height is 28 feet?

• ​1,580 ft²

• ​791 ft²

• ​254 ft²

• ​ 2,088 ft²

A triangular prism is shown above.

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

• ​ 128 in²

• ​ 144 in²

• ​ 152 in²

• ​ 192 in²

Raymond is using two containers for his Science experiment. The containers are shaped like a cylinder and a cone. The dimensions of each container are shown above.

Which statement about the volume of the cone and the cylinder is true?

• The volume of the cylinder is about 566 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 566 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 1,131 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 1,131 cubic inches greater than the volume of the cone.

Darby is going to wrap a box shaped like the rectangular prism shown. Find the total number of square inches of wrapping paper that Darby will need. Only type the exact number for the answer.

A sphere and its dimension are shown in the diagram.

What is the volume of the sphere to the nearest tenths?

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 ft³

• 1,335 ft³

• 691 ft³

• 1,696 ft³

A box is shaped like a triangular prism. The triangular base and its dimensions are shown.

The box has a height of 12 inches. What is the lateral surface area of the box in square inches?

The base of a triangular prism is shown above. The height of the prism is 14 units.

What is the total surface area of the prism to the nearest tenth of a square unit?

• 90.4 square units

• 448.0 square units

• 628.8 square units

• 538.4 square units

The base of the rectangular prism is shaded in the sketch above.

What is the lateral surface area of the rectangular prism?

• 1,904 cm²

• 3,764 cm²

• 1,860 cm²

• 14,280 cm²

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

• ​V = π (6)²h​

• ​ V = π(6h)²

• ​V = π(12)²h​

• ​ V = π(12)²