Question

the height of a square pyramid is one half the length of each side. the volume of the pyramid is 972in ^3. what is the height of the pyramid

Answer 1

Answer:

18.7 inches

Step-by-step explanation:

The question says that the height of a square pyramid is one half the length of each side. the volume of the pyramid is 972in³ and we are now asked to find the height of the pyramid

----The volume of a square pyramid is

V = A(h/3)

And since the height is one half(3/2) of the base

Let's assume that the base is y inch

Height = 3/2 × y,

Base area = y × y = y²

Volume of the pyramid = 3/2 × y × y² ÷ 3 = 972

Y/2 × y² = 972

Y³ = 1944

Y = ³√1944

Y = 12.48

Since the lenghy of the base is 12.48 in

And the height us 3/2 of y,

H = 3/2 × 12.48

Height is 18.7 inches