Question the-fi

4.4 Area and Volume - Volume of prisms, cylinders, cones, spheres
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The figure presents a right rectangular prism. The length of the prism is 6 centimeters, the width of the prism is 2 centimeters, and the height of the prism is 3 centimeters.

The figure shows the lengths, in centimeters (cm), of the edges of a right rectangular prism. The volume V of a right rectangular prism is l w h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?

A.

36

B.

24

C.

12

D.

11

The figure shows the lengths, in centimeters (cm), of the edges of a right rectangular prism.

Easy-difficulty · SAT Math · Area and Volume — Volume of prisms, cylinders, cones, spheres. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It’s given that the volume of a right rectangular prism is l w h. The prism shown has a length of 6 cm, a width of 2 cm, and a height of 3 cm. Thus, l w h equals, 6 times 2, times 3, or 36 cubic centimeters.

Choice B is incorrect. This is the volume of a rectangular prism with edge lengths of 6, 2, and 2. Choice C is incorrect and may result from only finding the product of the length and width of the base of the prism. Choice D is incorrect and may result from finding the sum, not the product, of the edge lengths of the prism.