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frutty [35]
2 years ago
7

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.

Mathematics
1 answer:
denis-greek [22]2 years ago
6 0

Answer:

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

Step-by-step 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} = \frac{735}{15}

l^{2} = 49

l = \pm \sqrt{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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