Question

Find the surface area of the right triangular prism (above) using its net (below).

Answer 1

Answer:

144 units²

Step-by-step explanation:

The net of the right triangular prism consists of 3 rectangles and 2 equal triangles

Let's solve for the area of each:

✔️Area of rectangle 1 = L*W

L = 11

W = 3

Area of rectangle 1 = 11*3 = 33 units²

✔️Area of rectangle 2 = L*W

L = 11

W = 4

Area of rectangle 2 = 11*4 = 44 units²

✔️Area of rectangle 3 = L*W

L = 11

W = 5

Area of rectangle 3 = 11*5 = 55 units²

✔️Area of the two triangles = 2(½*base*height)

base = 4

height = 3

Area of the two traingles = 2(½*4*3)

= 12 units²

✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles

= 33 + 44 + 55 + 12

= 144 units²