Question

Find the surface area. round to the nearest hundredth when necessary.

Answer 1

720 m²

Explanation:

Surface area of the triangular prism = bh + (perimeter of the triangular base)(height of prism)

Height of prism = 22 m

b = 5 m

h = 12 m

Perimeter = sum of all sides of the triangular base

We only know two sides of the triangle, 5 and 12, let's use Pythagorean theorem to find the third side (hypotenuse).

Hypotenuse = √(12² + 5²) = √169 = 13 m

Perimeter = 5 + 12 + 13 = 30 m

✔️Surface area of the prism = 5*12 + (30)(22)

= 60 + 660

= 720 m²