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Area and volume SAT question
Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.
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 , where
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?
ExplanationShow
Choice A is correct. It’s given that the volume of a right rectangular prism is . The prism shown has a length of 6 cm, a width of 2 cm, and a height of 3 cm. Thus,
, 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.
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