Rachel built a bookcase in the shape of a rectangular prism.

Rachel wants to paint the top, back, and both sides of the bookcase. What is the total area that Rachel will paint?

A. 8 3 4 cubic feet
Incorrect. This number represents the volume of the bookcase.

B. 18 1 4 square feet
Correct!

C. 20 3 4 square feet
Incorrect. This number includes the area of the bottom of the bookcase, which Rachel will not be painting.

D. 29 1 2 square feet
Incorrect. This number represents the total surface area of the rectangular prism represented by the bookcase.

A rancher uses a water storage tank that is in the shape of a cylinder.

About how much water will the storage tank hold when it is completely full?

A. 4,239 square feet
Incorrect. This number is the lateral surface area of the storage tank, but the question is asking about the capacity of the storage tank, which is volume.

B. 5,829 square feet
Incorrect. This number is the total surface area of the storage tank, but the question is asking about the capacity of the storage tank, which is volume.

C. 47,689 cubic feet
Correct!

D. 190,755 cubic feet
Incorrect. The dimensions shown are the height and diameter of the cylinder, but the volume formula requires the radius of the cylinder.

A block of wax has been shaped into a triangular prism with the dimensions shown.

If the block is completely melted, how much wax could be poured into a cylindrical candle mold?

A. 228 cubic centimeters
Correct!

B. 276 cubic centimeters
Incorrect. This number represents the total surface area of the block.

C. 456 cubic centimeters
Incorrect. The formula for the area of a triangle includes multiplication by one half.

D. 2280 cubic centimeters
Incorrect. The area of the triangular base is found by multiplying the perpendicular dimensions (length and width), then dividing by two.

A gift box in the shape of a rectangular prism is manufactured by using a cut-out in the shape of the net shown and stamping the cut-out onto a sheet of paperboard.

What is the amount of paperboard required to manufacture the box, excluding any waste?

A. 420 cubic centimeters
Incorrect. This number represents the volume of the gift box.

B. 362.2 square centimeters
Correct!

C. 187.2 square centimeters
Incorrect. This number represents the lateral surface area of the gift box.

D. 63.3 cubic centimeters
Incorrect. The amount of paperboard required to make the net is the total surface area of the prism.

A fuel tank is in the shape of a cylinder. Due to local fire codes, the tank must be completely covered in fire-resistant paint.

How much of the tank must be covered in fire-resistant paint?

A. 538 2 3 π ft2
Incorrect. This number represents the total surface area, in square yards, of the fuel tank, but the units are identified as square feet.

B. 3,696 π ft2
Incorrect. This number represents the lateral surface area of the fuel tank.

C. 4.848 π ft2
Correct!

D. 44,352 π ft2
Incorrect. This number represents the volume, in cubic feet, of the fuel tank.