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2 years ago

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 $V = 735, h = 15$

$V = l^{2}h$

$735 = 15l^{2}$

$l^{2} = \frac{735}{15}$

$l^{2} = 49$

$l = \pm \sqrt{49}$

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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2 years ago

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Let numbers of books be 'b' and numbers of CDs be 'c'

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Then we substitute $b=20-c$ into Equation [2]
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