Question

1. What is the volume of a square

based pyramid with the dimensions
-15 in
17 in
16 in
A. 80 in3
B. 85 in3
C. 800 in3
D. 1,280 in3

Answer 1

D. The volume of square based pyramid is 1280
`inch^(3)`

Explanation:

Given:- A square base pyramid of,

Base edge (b) =16 inches.

Height (h)= 15 inches.

To find:- Volume of the square bases pyramid=?

Solution:-

As the given pyramid is a square based pyramid, therefore the formula to find the volume for square based pyramid is,

Volume of square based pyramid =
`b^(2) (h)/(3)`

where, b is the base edge and h is the height of the pyramid.

`\therefore` Volume of square based pyramid =
`(16^(2)* 15 )/(3)`

`\therefore` Volume of square based pyramid =
`(256* 15)/(3)`

`\therefore` Volume of square based pyramid =
`(3840)/(3)`

`\therefore` Volume of square based pyramid = 1280
`inch^(3)`

Therefore the volume of square based pyramid is 1280
`inch^(3)`