380,362 views
43 votes
43 votes
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?

User Bigbounty
by
2.2k points

1 Answer

29 votes
29 votes

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


V=(1)/(2)bhl

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

So,
h=(2V)/(bl)

Subsitute:


h=(2(307.98))/((6)(17.7))\\h=(615.96)/(106.2)\\h=(29)/(5) =5.8 cm

5.8cm is the solution.

User David Luque
by
3.1k points