The base of a prism is an equilateral triangle of perimeter 15 centimetres and its height is 5 centimetres. What is its volume?

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Solution

Perimeter of the equilateral triangle at the base = 15 cm

∴ 3 × Length of each side = 15 cm

⇒ Length of each side = 5 cm

Height of the prism = 5 cm

Base area of the prism =

Volume of the prism = Base area × Height

= × 5 cm³

= 6.25 × 1.73 × 5 cm³

= 54.06 cm³(approx.)

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