Question

Find the volume of the following triangular pyramid whose base is triangle with side of 18 cm and and altitude of 17 cm and height of pyramid is 23 cm?

Answer 1

We know that $V=\frac{1}{3}\times B\times h$.
Here the base is a triangle with side $18$cm and altitude $17$cm. Hence $B=\frac{1}{2}\times 18\times 17=153c{m}^2$.
It follows that $V=\frac{1}{3}\times 153\times 23=1173c{m}^3$.