Question

The volume of the triangular pyramid below is 90 units^3. Find the value of X.

Answer 1

Given a figure of a triangular pyramid.

the volume of the triangular pyramid = 1/3 * B * h

Where B is the area of the base and (h) is the height

So, h = x

and B = 1/2 * 10 * 6 = 30

the volume of the triangular pyramid = 90 units³

So, we can write the following equation:

$\begin{gathered} \frac{1}{3}*30*x=90 \\ 30x=3*90 \\ 30x=270 \\ x=\frac{270}{30}=9 \end{gathered}$

So, the answer will be x = 9