Find collateral surface area of a rectangular prism represented by the given net

Answer 1

To find the surface area of a rectangular prism represented by the given net, we need to first identify the individual faces of the prism and then calculate the area of each face.

The net shows three rectangles that represent the top, bottom, front, back, and sides of the rectangular prism. Let's label the dimensions of the rectangular prism based on the net:

- The top and bottom rectangles have dimensions 8 cm by 3 cm.
- The side rectangles have dimensions 8 cm by 4 cm.
- The front and back rectangles have dimensions 4 cm by 3 cm.

Now, we can calculate the area of each face:

Top and bottom faces:
Area = length x width = 8 cm x 3 cm = 24 cm^2 (each)

Side faces:
Area = length x width = 8 cm x 4 cm = 32 cm^2 (each)

Front and back faces:
Area = length x width = 4 cm x 3 cm = 12 cm^2 (each)

Now, sum up the areas of all the faces to find the total surface area of the rectangular prism:
Total surface area = 2(top and bottom) + 2(side) + 2(front and back)
Total surface area = 2(24 cm^2) + 2(32 cm^2) + 2(12 cm^2)
Total surface area = 48 cm^2 + 64 cm^2 + 24 cm^2
Total surface area = 136 cm^2

Therefore, the total surface area of the rectangular prism represented by the given net is 136 square centimeters.