Question

A child's tent can be modeled as a pyramid with a square base whose sides measure 60 inches and whose height measures 84 inches. What is the volume of the tent, to the nearest cubic foot?

Answer 1

Answer: 58 cubic feet

Explanation:

Given: The sides of the square base of the pyramid (s)= 60 inches

In foot , the sides of the square base of the pyramid (s)=
`(60)/(12)=5\ ft`

The height of the pyramid = 84 inches

In feet, height of the pyramid =
`(84)/(12)=7\ ft`

We know that the volume of a square pyramid is given by ;-

`\text{Volume}=(1)/(3)s^2h\\\\\Rightarrow\text{Volume}=(1)/(3)(5)^2(7)\\\\\Rightarrow\text{Volume}=58.3333333\approx58\ ft^3`

Hence, the volume of the tent =58 cubic feet