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Find the volume of a triangular prism where the base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.

Sagot :

Given:

The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.

To find:

The volume of the triangular prism.

Solution:

Base of a triangular prism is a triangle with base length 6ft and height 5 ft.

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

So, the area of the base is

[tex]B=\dfrac{1}{2}\times 6\times 5[/tex]

[tex]B=\dfrac{30}{2}[/tex]

[tex]B=15[/tex]

Now, the volume of a triangular prism is

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting B=15 and h=7, we get

[tex]V=(15)(7)[/tex]

[tex]V=105[/tex]

Therefore, the volume of the triangular prism is 105 cubic ft.

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