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Question 957832: The inside Dimensions of a box are 2 by 3 by 4 ft. Find the dimensions of a packing box of the same shape which will hold 8 times as much.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! a box that will hold 8 times as much by volume would need to be double the dimensions.
it would have to be 4 by 6 by 8.
the volume of a 2 by 3 by 4 box is 2 * 3 * 4 = 24 cubic feet.
the volume of a 4 by 6 by 8 box is 4 *6 * 8 = 192 cubic feet.
192 cubic feet / 24 cubic feet is equal to 8.
the 192 cubic foot box is 8 times as large as the 24 cubic foot box.
in a 3 dimensional figure, if the dimensions are doubled, then the volume is multiplied by 8.
normal dimensions are x * y * z.
doubled dimensions are 2x * 2y * 2z which is the same as 8 * x * y * z.
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