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A 6 inch cube has the same volume as a box with a base 8in by 9in how tall is the box

User Vladimir Tolstikov
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1 Answer

18 votes
18 votes

Answer: 3 inches tall

Explanation:

The formula for the volume of a cube is a to the power of 3

Substitute a with 6 and you get 6^3. 6 X 6 X 6 = 216 so the volume is 216 inches cubed.

The formula for the volume of a rectangular prism is length X width X height. If we substitute the length and with with 8 and 9, we get 8 X 9 X height = 216 (since the volume is the same.)

72 X height = 216. Divide both sides by 72 and you get 3 as an answer.

User Alex Hartford
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