Question

The volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 11.1\text{ ft}11.1 ft

Answer 1

12.21ft³

Explanation:

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

Volume of square based pyramid is expressed as

V= a²(h/3)

Given data

Perimeter p = 7.3ft

Height h= 11.1ft

Since the shape has a square base let us solve for the length of each side

Perimeter of square p = a+a+a+a

p= 4a

7.3= 4a

a= 7.3/4

a= 1.83ft

Substituting our given data we have

Volume = 1.83²(11.1/3)

V= 3.3*3.7

V= 12.21ft³