Volume of given pyramid is 720 cubic centimeter
Solution:
From given figure in question,
A pyramid with a right triangular base
Base length = 9 cm
Height = 15 cm
The height of the pyramid is 32 cm long
The volume of a triangular pyramid is given as:
[tex]V = \frac{1}{3} \times A \times h[/tex]
A = area of the triangle base, and H = height of the pyramid
Find the area of the base:
[tex]Area\ of\ triangular\ base = \frac{1}{2} \times base \times height\\\\Area\ of\ triangular\ base = \frac{1}{2} \times 9 \times 15\\\\Area\ of\ triangular\ base = 67.5\ cm^2[/tex]
Now the volume is given as:
[tex]V = \frac{1}{3} \times 67.5 \times 32\\\\V = 720[/tex]
Thus volume of given pyramid is 720 cubic centimeter
