Question

What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20 m.

Answer 1

Given:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

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

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using 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 sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

$SA=(42)(20)+(42+29+29)(16)$

$SA=840+(100)(16)$

$SA=840+1600$

$SA=2440$

Thus, the surface area of the triangular prism is 2440 m²