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Consider a cube that measures 1 inch on each side. We can think of a cubic foot as a dilation of the cubic inch by a factor of 12. What is the volume, in cubic inches, of a cubic foot? *

Sagot :

The volume of the cube is 1 cubic foot.

Volume of cube:

Given that, each side of cube is 1 inch.

When dilation of the cubic inch by a factor of 12. Then each side of cube became 12 inches.

As we know that,

            [tex]12inch=1 foot[/tex]

So that, each side of cube become 1 foot.

   Volume of cube [tex]=(side)^{3}[/tex]

               [tex]Volume=1^{3}=1ft^{3}[/tex]

Learn more about the volume of cube here :

https://brainly.com/question/1972490

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