Question

2. A tent in the shape of a triangular prism is made using the following piece of fabric.


Find the surface area of the fabric. Show the work for each of the calculations.
a. Area of the rectangular faces.
b. Area of the Triangular faces.
c. Total Surface Area of the tent.
 

Answer 1

Answer:

The answer to your question is 204 cm²

Step-by-step explanation:

Process

1.- Calculate the area of the first rectangle from up.

Area = base x width

        = 10 x 5

        = 50 cm²

2.- Calculate the area of the middle rectangle

Area = 10 x 8

        = 80 cm²

3.- Calculate the area of the lowest rectangle

Area = 10 x 5

        = 50 cm²

4.- Area of the rectangular faces

Area = 50 + 80 + 50

        = 180 cm²

5.- Calculate the area of the triangles

Area = base x height / 2

        = 8 x 3 /2

        = 24/2

        12 cm²

6.- Area of the triangles

Area = 12 + 12

        = 24 cm²

8.- Total area

Total area = 180 + 24

                 = 204 cm²