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

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.3.MD.A.2

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.

Tags

CCSS.7.G.B.6

A sphere and its dimension are shown in the diagram.

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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?

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3