Question

a triangular prism is 17.7 cm long. it’s has a triangular face with a base of 6 cm. the volume of the prism is 307.98 cubic cm. what is the height of its triangular face?

Answer 1

The formula for measuring a triangle's volume is as follows:

$V=\frac{1}{2}bhl$

Given that, $l=17.7; b=6; V=307.98$ you can simply solve for $h$.

So, $h=\frac{2V}{bl}$

Subsitute:

$h=\frac{2(307.98)}{(6)(17.7)}\\h=\frac{615.96}{106.2}\\h=\frac{29}{5} =5.8 cm$

5.8cm is the solution.