SOLUTION: A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches. What is the length of the similar pencil box?

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Question 937096: A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches.
What is the length of the similar pencil box?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches.
What is the length of the similar pencil box?
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The volume is 8 times, 512/64
Volume is a function of the cube of the dimensions.

--> dimensions are 2x
Length = 2*10 = 20 inches
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That's a BIG pencil box. I hope it has wheels.

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