Question

Calculate the surface area of a triangular prism. It has an isosceles triangle face with a base of 4 m and a height of 3 m. The length of the prism is 9 m.

Answer 1

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Answer 2

48 + 18√13 cm²

Explanation:

HC = BC/2 = 4m/2 = 2 m

AC = √AH² + HC² = √9 + 4 = √13

A = 2×A(ABC) + 2×A(ACFD) + A(BCFE)

= 2×AH×BC/2 + 2×AC×CF + BC×CF

= 2×3×4/2 + 2×√13×9 + 4×9

=12 + 18√13 + 36

= 48 + 18√13 cm²