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
