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Geometry

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by swerve » Wed May 13, 2020 2:56 pm
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The dimensions of a ream of paper are \(8 \frac{1}{2}\) inches by 11 inches by \(2 \frac{1}{2}\) inches. The inside dimensions of a carton that will hold exactly 12 reams of paper could be

A. \(8 \frac{1}{2}\) in by 11 in by 12 in
B. 17 in by 11 in by 15 in
C. 17 in by 22 in by 3 in
D. 51 in by 66 in by 15 in
E. 102 in by 132 in by 30 in

The OA is B

Source: Official Guide
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Re: Geometry

by Scott@TargetTestPrep » Sat May 16, 2020 8:34 am
swerve wrote: ↑
Wed May 13, 2020 2:56 pm
 The dimensions of a ream of paper are \(8 \frac{1}{2}\) inches by 11 inches by \(2 \frac{1}{2}\) inches. The inside dimensions of a carton that will hold exactly 12 reams of paper could be

A. \(8 \frac{1}{2}\) in by 11 in by 12 in
B. 17 in by 11 in by 15 in
C. 17 in by 22 in by 3 in
D. 51 in by 66 in by 15 in
E. 102 in by 132 in by 30 in

The OA is B

Source: Official Guide
Solution:

Let’s analyze each answer choice.

A) Since 12/2.5 = 4.8, the dimensions in choice A can only hold 4.8 reams of paper.

B) Since 17/8.5 = 2, 15/2.5 = 6 and 2 x 6 = 12, the dimensions in choice B can hold 12 reams of paper. To fill the carton, then, two reams will be placed side-by-side in the bottom and then 5 reams will be stacked on top of each.of the two reams, making 2 stacks of 6 reams each.

Answer: B

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