Answer :

The surface area of the given triangular prism = 2700 cm² .

The given figure is triangular prism,

We know that,

A polyhedron with two triangular bases and three rectangular sides is known as a triangular prism. It is a three-dimensional form with three side faces and two base faces that are joined by the edges. If the sides are rectangular, it is referred to as a right triangular prism; otherwise, it is referred to as an oblique triangular prism. When the bases are equilateral and the sides are square, the prism is referred to as a uniform or regular triangular prism.

Now let,

S₁ = 10 cm

S₂ = 17 cm

S₃ = 21 cm

h = 8 cm

l = 30

Perimeter = S₁ + S₂ + S₃

= 10 + 17 + 21

= 48 cm

Area of base = 30 x 21

= 630 cm²

Now surface area of triangular prism

= (perimeter x length) + 2x Area of base

= 48 x 30 + 2x630

= 2700 cm²

Hence,

Surface area = 2700 cm² .

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