Question

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What is the surface area of the triangular prism?

Answer 1

Given:

The base of the triangle is b = 3 feet.

The height of the triangle is h = 4 feet.

The other side of the triangle is 5 feet.

The height of the triangular prism is 20 feet.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism is given by the formula,

`SA=bh+(s_1+s_2+s_3)H`

where b is the base of the triangle,

h is the height of the triangle,

s₁ , s₂ and s₃ are the sides of the triangle and

H is the height of the triangular prism.

Substituting the values, we get;

`SA=(3)(4)+(3+4+5)(20)`

`SA=12+(12)(20)`

`SA=12+240`

`SA=252 \ ft^2`

Thus, the surface area of the triangular prism is 252 ft²