SOLUTION: The diagonal of one cube has a length of 22cm. A diagonal of another cube is 42cm. The larger cube has a volume of 64cm^3. Find the volume of the smaller cube.

SOLUTION: The diagonal of one cube has a length of 22cm. A diagonal of another cube is 42cm. The larger cube has a volume of 64cm^3. Find the volume of the smaller cube.

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Question 939782: The diagonal of one cube has a length of 22cm. A diagonal of another cube is 42cm. The larger cube has a volume of 64cm^3. Find the volume of the smaller cube.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!

and

Look specifically at the larger cube seemingly diagonal 42 and volume 64.

Rationalize denom;

Use the proportion earlier found.

----side length of the smaller cube, so raise all this to power 3 to get volume.

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