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# [Smart Math] Geometry Problem 15

Here’s and example of a SMART MATH problem for GEOMETRY.

### Problem

A rectangular bin 4 feet long, 3 feet wide and 2 feet high is solidly packed with bricks of dimensions 8 inches, 4 inches and 2 inches. Find the maximum number of bricks that can go in the bin.

1. 54
2. 320
3. 648
4. 848
5. cannot be determined

The Usual Method

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The maximum number of bricks that can go in the bin =

$\frac{4\times 12\times 3\times 12\times 2\times 12}{8\times 4\times 2}=648$

(Ans: 3)

Estimated Time to arrive at the answer = 30 seconds.

Using Technique

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Since the size of bins is given in feet and that of the bricks is given in inches, we convert feet to inches by multiplying by 12. Thus the answer should be a multiple of 12. Only option ‘3’ is a multiple of 12.

(Note: to find the multiple of 12, find the multiple of 3 as well as 4).

(Ans: 3)

Estimated Time to arrive at the answer = 10 seconds.
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