Question

The formula for the volume of a right triangular pyramid is V=1/6bhx , where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid. Solve for x.

Answer 1

V = 1/6bhx --> x = 6V/bh

Explanation:

Answer 2

volume of a right triangular pyramid = V =
`(1)/(6)`*b*h*x

As 6 is in the denominator, multiply both side by 6

6V = b*h*x

To make x alone we will use a opposite operation. As there is a multiplication sign between b ,h and x so we will divide both side by bh

`(6V)/(bh)` =
`(bhx)/(bh)`

x =
`(6V)/(bh)`