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The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5. If the volume of the prism is 1,620 mm3, what is the width of the prism?
A. 3 mm
B. 6 mm
C. 9 mm
D. 18 mm
E. 27 mm
Correct Answer: D
Explanation/Reference:
Explanation:
The volume of a prism is equal to lwh, where l is the length of the prism, w is the width of the prism, and h is the height of the prism:
2x x 6x x 5x = 1,620
60x3 = 1,620 x3 = 27 x = 3
The length of the prism is 2 x 3 = 6 mm, the width of the prism is 6 x 3 = 18 mm, and the height of the prism is 5 x 3 = 15 mm.
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