Answered

A triangular prism is 7.3 millimeters long and has a triangular face with a base of 17.2 millimeters and a height of 14 millimeters. What is the volume of the triangular prism?



Answer :

Answer:

[tex]\rm878.92\:mm^3[/tex]

Step-by-step explanation:

Volume

Volume is the amount of space the inside of a 2-D, or in this case a 3-D, shape takes up.

The general formula for finding the volume of a prism is taking the product of its base and the height of the prism (the length between the two bases).

                                               [tex]V=Bh[/tex]

[tex]\dotfill[/tex]

Solving the Problem

Using the area formula of a triangle, the base can be found.

                   [tex]B=A_\triangle=\dfrac{1}{2} bh=\dfrac{1}{2}(17.2)(14)=120.4[/tex]

we know that the height of the prism is 7.3mm, so the volume of the triangular prism is

                                  [tex]V=Bh=(120.4)(7.3)\\\Longrightarrow V=878.92[/tex].

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