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

Answer:

D. The volume of square based pyramid is 1280 $inch^{3}$

Step-by-step 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 = $b^{2} \frac{h}{3}$

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

$\therefore$ Volume of square based pyramid = $\frac{16^{2}\times 15 }{3}$

$\therefore$ Volume of square based pyramid = $\frac{256\times 15}{3}$

$\therefore$ Volume of square based pyramid = $\frac{3840}{3}$

$\therefore$ Volume of square based pyramid = 1280 $inch^{3}$

Therefore the volume of square based pyramid is 1280 $inch^{3}$