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Question 1121675: We want to make a shape with the dimensions 40, 60, and 40 using little cubes.
What is the minimum cubes needed?
Found 4 solutions by solver91311, josgarithmetic, Theo, ikleyn:
Answer by solver91311(24713)   (Show Source):
Answer by josgarithmetic(39630)  (Show Source):
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! a litle cube is 1 by 1 by 1
to make a shape that is 40 by 60 by 40, you will require 40 * 60 * 40 = 96000 little cubes.
the volume of a little cube that is 1 inch by 1 inch by 1 inch is 1 * 1 * 1 = 1 cubic inch.
the volume of a container that is 40 inches by 60 inches by 40 inches is 40 * 60 * 40 = 96000 cubic inches.
since that little cube is 1 cubic inch, then 96000 of them will fit into the volume of the container.
to see this visually, consider a much cmaller container, like a container that is 2 inches by 2 inches by 1 inch.
that container should contain 2 * 2 * 1 = 4 cubic inches, which means it can be composed of 4 little cubes with a colume of 1 cubic inch each.
my picture of that container looks like this.
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Answer by ikleyn(52906)  (Show Source):
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