the volume of a square pyramid is 2023 cubic inches. if the height of the pyramid is 21 inches what is the perimeter of the square base

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