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The base of a prism is an equilateral triangle of perimeter 12 centimetres and its height is 5 centimetres. What is its total surface area? |
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Answer» Base perimeter of equilateral triangular prism = 12 cm Base side = 12/3 = 4 cm Lateral surface area of equilateral triangular prism = Base perimeter × Height = 12 × 5 = 60 cm2 Base area of equilateral triangular prism = \(\frac{\sqrt{3}}{4}\times4^2\) = 4√3 = 6.92 cm2 Total surface area of equilateral triangular prism = 60 + 2 × 6.92 = 73.84 cm2 |
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