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Question

# A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

A
20
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B
40
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C
60
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D
80
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E
100
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Solution

## The correct option is D 80Let length, breadth and height of first box =lbhTherefore,lbh=10 cubic feetNew dimension of box: l1=2l,b1=2b,h1=2hNew volume =l1b1h1=2l.2b.2h=8lbh=8×10=80cubefeet

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