Question

The volume of a square pyramid is 50 inches. The length of the base of the pyramid is 5 inches. What is the height of the pyramid?

Answer 1

Answer: the height of the pyramid is 6 inch.

Step-by-step explanation:

V=50 inch³    a=5 inch     H=?

Formula of  volume square pyramid is:

                    $\boxed {V=\frac{1}{3}*S_{base}*H },$        

where:   Sbase - pyramid base area;

              H -   pyramid height.

Hence,

             $H=\frac{3*V}{S_{base}}$.

Since the pyramid is square, its base is a square.        ⇒

$S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\ inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).$

Good luck!