Question

The base perimeter of an equilateral triangular prism is 30 cm and its height is 12 cm. Calculate its
volume?

Answer 1

Answer:

Answer is 519.62 cm^3

Step-by-step explanation:

Let 'a' be the length of side of base of prism.

Base perimeter = 30 cm

i.e., 3a = 30 cm

        a = 10 cm

Base Area = ($\sqrt{3}$/4)a^2

                  = 43.301 cm^2

Given height of prism = 12 cm

Volume of prism = Area of base x height of prism

                            = 43.301 x 12

                            = 519.62 cm^3