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nlexa [21]
2 years ago
12

The base perimeter of a triangular prism is 36cm and lateral surface area is

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

(a)

Lateral surface area of prism =720cm²(Given) Perimeter x height = 720

36 x height = 720

∴ Height\: of\: prism = \frac{720}{36} = 20\\(b) Total \:surface\: area\: of\: prism = 2 x \:base\: area\: + L.\: S.\: A\: of \:prism \\ =  \frac{2 \times  \sqrt{3} }{4}  \times(  {12}^{2} ) + 720 \\  = (72 \sqrt{3}  + 720) {cm}^{2} \\  = (72 \times 1.732 + 720) {cm}^{2}  \\  = 844.704 \frac{}{}  {cm}^{2}

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