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?

Respuesta :

Answer:

[tex]V=400\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

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

[tex]B=25\ mm^2[/tex]

[tex]L=16\ mm[/tex]

substitute

[tex]V=25(16)[/tex]

[tex]V=400\ mm^3[/tex]

Answer:

The volume of the triangular prism is [tex]400mm^3[/tex]

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 [tex]400mm^3[/tex]