Question

Find surface area of the right angled triangular prism.

Answer 1

Answer:

$SA=504\text{ cm}^2$

Step-by-step explanation:

We have been given an a right angled triangular prism. We are asked to find the surface area of our given prism.

We will use surface area of right prism formula to solve our given problem.

$SA=2B+Ph$, where,

SA = Surface area,

B = Area of right triangular base,

P = Perimeter of right triangular base,

h = Height of prism.

Let us find area of of triangular base.

$B=\frac{1}{2}\times 9\times 12$

$B=9\times 6$

$B=54$

The perimeter of triangular base would be $9+12+15=36$.

Upon substituting our given values, we will get:

$SA=2(54)+36(11)$

$SA=108+396$

$SA=504$

Therefore, the surface area of our given prism is 504 square cm.

Answer 2

A triangular prism has 5 faces, 3 being rectangular and 2 being triangular. The area of the rectangular faces can be found by multiply the base and height lengths together. The area of the triangular faces can be found by multiplying the base and height and dividing by 2.