Question

The legs of the base of a right triangular

prism measure 9 in. and 12 in. The prism has
a height of 5 in. What is the surface area of
the prism?

Answer 1

the surface area of the prism = 288 in²

Explanation:

Let S be the surface area of the prism

B be the area the base (right-angered triangle)

L be the lateral surface area

Formula :

S = 2×B + L

……………………

`B=(12* 9)/(2) = 54`

`\text{Length \ of \ the \ third \ side}=\sqrt{12^(2)+9^(2)} =15`

L = 5×(9 + 12 + 15) = 180

S = 2×B + L

S = 2×54+180 = 288 in²