Answer:
Sure, I can help you with that. The surface area of a rectangular prism is the sum of the areas of all its faces. A net is a way of unfolding a 3D shape into a 2D shape, so that each face is represented by a rectangle. To find the area of each rectangle, you need to multiply its length and width. For example, the area of rectangle 1 in the net is 2cm times 5cm, which is 10cm^2. The area of rectangle 2 is 5cm times 8cm, which is 40cm^2. The area of rectangle 3 is 8cm times 2cm, which is 16cm^2. And so on for the other rectangles.
To find the total surface area, you need to add up the areas of all the rectangles. You can use the formula:
Total surface area = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3 + Area of rectangle 4 + Area of rectangle 5 + Area of rectangle 6
If you plug in the values that you calculated for each rectangle, you will get:
Total surface area = 10cm^2 + 40cm^2 + 16cm^2 + 16cm^2 + 40cm^2 + 10cm^2
Total surface area = 132cm^2
So, the surface area of the rectangular prism is 132cm^2. I hope this helps you understand how to find the surface area of a rectangular prism using a net.
Do you have any other questions about geometry or anything else?
Explanation: