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

Step-by-step 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)=$\dfrac{60}{12}=5\ ft$

The height of the pyramid = 84 inches

In feet, height of the pyramid = $\dfrac{84}{12}=7\ ft$

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

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

Hence, the volume of the tent =58 cubic feet

Answer 2

Answer:

The volume of the tent is $100,800\ in^{3}$

Step-by-step explanation:

we know that

The volume of the square pyramid (child's tent) is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=60\ in$

$h=84\ in$

substitute

$V=\frac{1}{3}(60^{2})(84)=100,800\ in^{3}$