Apply the technique of using nets to find the surface d arranged this triangular prism your answer should have two decimal places

Question

7.48 cm
13 cm
15 cm
17 cm

Answer 1

To find the surface area of the triangular prism, we need to find the area of each face and then sum them up.

1. Top and Bottom Triangular Faces:
The base of the triangle is 13 cm and the height is 7.48 cm.
Area = 1/2 * base * height = 1/2 * 13 * 7.48 = 48.58 cm² (for each face)

2. Side Rectangular Faces:
The base of the rectangle is 15 cm and the height is 7.48 cm.
Area = base * height = 15 * 7.48 = 112.2 cm² (for each face)

Now, we add up the areas of all the faces:
2 (top and bottom triangular faces) + 3 (side rectangular faces) = 2(48.58) + 3(112.2) = 97.16 + 336.6 = 433.76 cm²

Therefore, the surface area of the triangular prism is 433.76 cm².