Question

What’s the height of the pyramid?

Answer 1

Answer:

12.2 $m^{3}$

Step-by-step explanation:

We know that the formula to find the volume of a square pyramid is $\frac{1}{3}b^{2} height$ being b one of the sides of the base.

We have a perimeter of 14 m and we know that is a square, so the lenght of the sides of the square can be find by the formula:

$side=\frac{perimeter}{4}$ = $\frac{14}{4}$ = 3.5 m.

Now we know the sides of the square so we know b in the formula of the volume. We need to put the height alone in one of the sides of the formula

v=$\frac{1}{3}b^{2} height$

$3V=b^{2} height$

$\frac{3V}{b^{2} } = height$

We put the values in the new formula: $\frac{3(50)}{3.5^{2} } = height$ = 12.2 $m^{3}$