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

C. 26mm

Step-by-step explanation: Just did the assignment

Answer 2

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

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=(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`