If the volume of the pyramid shown is 108 inches cubed, what is the area of its base? A pyramid with a height of 8 inches. 4 inches squared 12 inches squared 24 inches squared 36 inches squared

36in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid.

Step one

The formula for the volume of a square based pyramid is

V=a²h/3

Where a = side of base

h = height

Given data

Volume = 108in³

Height h = 8 in

We can solve for the base a by substituting our data

108 = a² * 8/3

a² = (108*3) / 8

a² = 40.5

a = √40.5

a = 6.36in

To the nearest whole number

a = 6in

The area of the square based = 6*6

= 36in²