Question

What is the surface area of the triangular prism shown below
???

Answer 1

Explanation:

Answer 2

Given:

Given that the base of the triangle is 4 cm.

The height of the triangle is 3 cm.

The height of the prism is 8 cm.

The other side of the triangle is 5 cm.

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, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 4, h = 3, s₁ = 4, s₂ = 3, s₃ = 5 and H = 8, we get;

`SA=(4)(3)+(4+3+5)(8)`

`SA=12+(12)(8)`

`SA=12+96`

`SA=108 \ cm^2`

Thus, the surface area of the triangular prism is 108 square cm.