Question

What is the height of the triangular prism below if the volume equals 1,638 cubic millimeters? 65 mm 63 mm 26 mm 28 mm.

Answer 1

Answer:

The height of the triangular prism is $26\ mm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the triangular prism is equal to

$V=Bh$

where

B is the area of the triangular base

h is the height of the prism

Find the area of the base B

$B=\frac{1}{2}(7)(18)=63\ mm^{2}$

we have

$V=1,638\ mm^{3}$

$h=x\ mm$

substitute and solve for x

$1,638=(63)x$

$x=1,638/(63)=26\ mm$