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?

Question

asked Mar 24, 2023 113k views

1 Answer

Henk Dekker · Answer 1 · 2023-03-31T06:41:07+0000

Answer: the height of the pyramid is 6 inch.

Explanation:

V=50 inch³ a=5 inch H=?

Formula of volume square pyramid is:

$\boxed {V=(1)/(3)*S_(base)*H },$

where: Sbase - pyramid base area;

H - pyramid height.

Hence,

$H=(3*V)/(S_(base))\\$ .

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

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

Good luck!