A regular prism is 5 m. height, the perimeter of the base which is an equilateral triangle is 2 cm . Find the volume of the prism.
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Step-by-step explanation:
Height of the prism = 5 cm
Base perimeter = 12 cm
Lateral surface area of the prism = Base perimeter × Height of the prism
= 12 cm × 5 cm
= 60 cm2
Base of the prism is an equilateral triangle with perimeter 12 cm.
⇒ 3 × length of side = 12 cm
⇒ Length of each side = 4 cm
Area of the equilateral triangle = 

∴ Surface area of the prism = Lateral surface area of the prism + 2 × Area of the equilateral triangle
= (60 + 2 × ) cm2
= (60 + 8 × 1.73) cm2
= 73.84 cm2
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