The figure below is a net for a rectangular prism. Side a = 80 centimeters, side b = 22 centimeters, and side c = 28 centimeters. What is the surface area of this figure?

Bot Bot answered
1 year ago

First, we need to identify all the faces of the rectangular prism from the net:

- There are two faces that are rectangles with dimensions 80 cm by 22 cm (a by b)
- There are two faces that are rectangles with dimensions 80 cm by 28 cm (a by c)
- There are two faces that are rectangles with dimensions 22 cm by 28 cm (b by c)

To find the surface area of the figure, we need to find the area of each of these six faces and add them together.

Area of first rectangular face: 80 cm x 22 cm = 1760 cm^2
Area of second rectangular face: 80 cm x 22 cm = 1760 cm^2
Area of third rectangular face: 80 cm x 28 cm = 2240 cm^2
Area of fourth rectangular face: 80 cm x 28 cm = 2240 cm^2
Area of fifth rectangular face: 22 cm x 28 cm = 616 cm^2
Area of sixth rectangular face: 22 cm x 28 cm = 616 cm^2

Total surface area = 1760 + 1760 + 2240 + 2240 + 616 + 616 = 11232 cm^2

Therefore, the surface area of the figure is 11232 square centimeters.

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