Question

Use this net to find the surface area of the rectangular prism. It represents.(a) 30 ft^2 (b) 66ft ^2 (c) 80ft^2

Answer 1

To find the surface area of the rectangular prism represented by the net, we need to find the area of each face and then add them together.

In the net provided, we can see that there are 6 faces to the rectangular prism: 3 rectangles with dimensions 3x2, 3x4, and 2x4 and 3 squares with sides of 2, 4, and 3.

Let's calculate the area of each face:
1. Rectangle with dimensions 3x2: Area = 3 * 2 = 6 ft^2
2. Rectangle with dimensions 3x4: Area = 3 * 4 = 12 ft^2
3. Rectangle with dimensions 2x4: Area = 2 * 4 = 8 ft^2
4. Square with side 2: Area = 2 * 2 = 4 ft^2
5. Square with side 4: Area = 4 * 4 = 16 ft^2
6. Square with side 3: Area = 3 * 3 = 9 ft^2

Now, sum up all the areas:
6 + 12 + 8 + 4 + 16 + 9 = 55 ft^2

Therefore, the surface area of the rectangular prism represented by the net is 55 ft^2. None of the given choices match the calculated surface area.