17
QuizMultiple Choice

Changing Dimensions of 3-D Figures — Quiz

Question 17 • MASTER COURSE Geometry

A rectangular prism has a length of 4 point 2 cm, a width of 5 point 8 cm, and a height of 9 point 6 cm. A similar prism has a length of 14 point 7 cm, a width of 20 point 3 cm, and a height of 33 point 6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?

Answer
A
5
B
4
C
4 and 5 sixths
D
3 and 1 half

Explanation

Divide a larger dimension by its corresponding smaller dimension to find the scale factor. For the lengths, 14.7 ÷ 4.2 = 3.5; the widths and heights give the same ratio: 20.3 ÷ 5.8 = 3.5 and 33.6 ÷ 9.6 = 3.5. The dimensions are multiplied by 3.5, or 3 and 1 half, which is choice D.

AI-written and checked against the verified answer.

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