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,
[tex]SA=bh+(s_1+s_2+s_3)H[/tex]
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;
[tex]SA=(4)(3)+(4+3+5)(8)[/tex]
[tex]SA=12+(12)(8)[/tex]
[tex]SA=12+96[/tex]
[tex]SA=108 \ cm^2[/tex]
Thus, the surface area of the triangular prism is 108 square cm.
