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?

Respuesta :

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

[tex]V=\frac{1}{2}bhl[/tex]

Given that, [tex]l=17.7; b=6; V=307.98[/tex] you can simply solve for [tex]h[/tex].

So, [tex]h=\frac{2V}{bl}[/tex]

Subsitute:

[tex]h=\frac{2(307.98)}{(6)(17.7)}\\h=\frac{615.96}{106.2}\\h=\frac{29}{5} =5.8 cm[/tex]

5.8cm is the solution.