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3 years ago

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

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

5 0

<u>Given</u>:

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.

<u>Surface area of the triangular prism:</u>

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.

Virty [35]3 years ago

4 0

Answer:

Step-by-step explanation:

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