Answer:
289in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a square based pyramid
Given data
Volume v= 2023 in³
Height h= 21 in
The expression for the volume of a square based pyramid is
V= a²*(h/3)
Let us solve for a which is the side of the square base
2023= a²*(21/3)
2023= a²*7
a²= 2023/7
a²= 289 (this is the area )
a= √289
a= 17in
Proof
Hence the area of the square base is
Area = a*a= 17*17= 289in²
