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A prism with a square base has a height of 15cm and a volume of 735cm3. Find the length of each edge of the base.

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Answer:

The length of each edge of the base is 7cm.

Explanation:

The volume of a prism with square base is given by:


V = l^(2)h

In which l is the length of each edge of the base and h is the height.

A prism with a square base has a height of 15cm and a volume of 735cm3.

This means that
V = 735, h = 15

So


V = l^(2)h


735 = 15l^(2)


l^(2) = (735)/(15)


l^(2) = 49


l = \pm √(49)

Length is a positive measure. So


l = 7

Volume in cm³, so the length of each edge is in cm.

The length of each edge of the base is 7cm.

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