Answer:
36in²
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