Question

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.

Answer 1

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.