Question

A triangle has an area of 25 square millimeters. A triangular prism, 16 mm long, is built from the

triangle. What is the volume of the triangular prism?

Answer 1

The volume of the triangular prism is
`400mm^3`

Explanation :

Area of the triangle = 25 sqmm

Height of the triangle prism = 16mm

Suppose height of the prism is h and breadth is b and length is l

Area= A

Since the formula of volume of prism is

Volume= Area ×height of the prism

= A × h

Substituting the values

= 25×16

=400mm3

The volume of the triangular prism is
`400mm^3`

Answer 2

`V=400\ mm^3`

Explanation:

we know that

The volume of the triangular prism is equal to

`V=BL`

where

B is the area of the triangular base

L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases

we have

`B=25\ mm^2`

`L=16\ mm`

substitute

`V=25(16)`

`V=400\ mm^3`