Answer:
D. The volume of square based pyramid is 1280 [tex]inch^{3}[/tex]
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 = [tex]b^{2} \frac{h}{3}[/tex]
where, b is the base edge and h is the height of the pyramid.
[tex]\therefore[/tex] Volume of square based pyramid = [tex]\frac{16^{2}\times 15 }{3}[/tex]
[tex]\therefore[/tex] Volume of square based pyramid = [tex]\frac{256\times 15}{3}[/tex]
[tex]\therefore[/tex] Volume of square based pyramid = [tex]\frac{3840}{3}[/tex]
[tex]\therefore[/tex] Volume of square based pyramid = 1280 [tex]inch^{3}[/tex]
Therefore the volume of square based pyramid is 1280 [tex]inch^{3}[/tex]
