Question

This diagram shows a right square pyramid and some of its dimensions. What is the volume of the pyramid?

A) 48 cubic inches
B 60 cubic inches
C 144 cubic inches
D) 180 cubic inches
Please I need help :(

Answer 1

Volume of square Pyramid is 48 cubic inches.

Option A is correct option.

Explanation:

Height of Pyramid = 4 in

Length of Base = 6 in

We need to find volume of square pyramid

The formula used is:

`Volume\: of\: Square\: Pyramid=(1)/(3)* A * h`

Where A is area of base and h is height.

`Area\: of\: Base =(Length)^2= 6^2 = 36`

Now, putting values of A = 36 and h = 5 and finding volume

`Volume\: of\: Square\: Pyramid=(1)/(3)* A * h\\Volume\: of\: Square\: Pyramid=(1)/(3)* 36 * 4\\Volume\: of\: Square\: Pyramid=12 * 4\\Volume\: of\: Square\: Pyramid=48 \: cubic\:inches`

So, Volume of square Pyramid is 48 cubic inches.

Option A is correct option.