Question 40

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is $$18 cm$$ and the height of the prism is $$20 cm$$, then what is the volume (in $$cm^3$$) of the prism?

Solution

Side of equilateral triangle=(18/3)=6 cm.

So, Area of base of prism=(√3/4)×36=9√3 .

So, volume of prism

$$=20×9√3=180√3 cm^3$$.

D is correct choice.


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