A cylindrical fish tank is filled to the height shown with water.

Which of the following expressions could be used to determine the volume of water contained in the fish tank?

A. 14(8)π cubic inches
Incorrect. You will need to use the volume formula for a cylinder.

B. 14(8)²π cubic inches
Incorrect. The dimension given is the diameter of the base of the cylinder, but you need to use the radius of the base of the cylinder to determine the volume.

C. 14(4)²π cubic inches
Correct!

D. 16(4)²π cubic inches
Incorrect. This is the total volume of the fish tank, but the question asks for the volume of the water.

A wedge in the shape of a triangular prism is shown in the diagram below.

Write an expression that could be used to determine the volume of the wedge.

A. 5(12)(13) cubic centimeters
Incorrect. Determine the area of the base, then multiply that by the height of the prism.

B. 5(12)(10.5) cubic centimeters
Incorrect. Remember that the formula for the area of a triangle includes multiplication by 1 2.

C. 1 2(5)(12)(13) cubic centimeters
Incorrect. The height of the prism is the distance between the two triangular bases.

D. 1 2(5)(12)(10.5) cubic centimeters
Correct!

A candle that is in the shape of a square pyramid is shown in the diagram.

Which expression could be used to calculate the volume of the candle?

A. 1 3(4 1 4)² (3 5 8) square inches
Correct!

B. 1 2(4 1 4)² (3 5 8) square inches
Incorrect. Check the formula for the volume of a pyramid.

C. 1 3(4 1 4)² (4 3 4) square inches
Incorrect. Check the formula for the volume of a pyramid.

D. 1 3(4 1 4)(3 5 8)(4 3 4) square inches
Incorrect. The area of the base, which is a square, is found by squaring the side length of the base.

The net of a rectangular prism is shown below.

What is the volume of the rectangular prism?

A. 269.96 cubic centimeters
Incorrect. This number is the total surface area of the prism.

B. 248.64 cubic centimeters
Correct!

C. 155.4 cubic centimeters
Incorrect. This number is the area of two faces of the prism.

D. 77.7 cubic centimeters
Incorrect. This number is the area of one face of the prism.

What is the volume of the cone shown below?

A. 40π cubic centimeters
Incorrect. This number uses the circumference of the base instead of the area of the base.

B. 100π cubic centimeters
Correct!

C. 108 1 3π cubic centimeters
Incorrect. This number uses the slant height of the cone, 13 centimeters, instead of the height of the cone.

D. 400π cubic centimeters
Incorrect. The dimension shown is the diameter of the base of the cone, but the formula requires the radius of the base of the cone.