Question

Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Answer 1

Volume of the pyramid is
`26(2)/(3) \ yd^3`

Explanation:

Here we have the formula for the volume of a pyramid given as follows;

Volume of pyramid =
`(1)/(3) * Area \ of \, Base, B * Height \ h \ of \ the\ pyramid`

The side of the base of the triangular pyramid is given as 5 yd

The height of the base triangle = 4 yd

Area of base, B triangle =
`(1)/(2) * base * height = (1)/(2) * 5 * 4 = 10 \ yd^2`

Therefore, since the height of the pyramid = 8 yd, the volume of the pyramid is given by the following relation;

Volume of the pyramid =
`(1)/(3) * 10 \ yd^2 * 8 \ yd = (80)/(3) \ yd^3 = 26(2)/(3) \ yd^3`.