Question
using the net of the prism shown, what is its surface area? it has 7mm 10mm 6mm and 8mm
Answers
GPT 3.5
To find the surface area of the prism, we need to calculate the area of each of the faces and then add them together.
1. The top and bottom faces are both rectangles with dimensions 7mm x 10mm, so the area of each of these faces is 7mm x 10mm = 70mm^2. Since there are two of these faces, the total area for both of them is 2 x 70mm^2 = 140mm^2.
2. The front and back faces are rectangles with dimensions 6mm x 10mm, so the area of each of these faces is 6mm x 10mm = 60mm^2. Since there are two of these faces, the total area for both of them is 2 x 60mm^2 = 120mm^2.
3. The two side faces are rectangles with dimensions 6mm x 8mm, so the area of each of these faces is 6mm x 8mm = 48mm^2. Since there are two of these faces, the total area for both of them is 2 x 48mm^2 = 96mm^2.
Now, add up the areas of all the faces to find the total surface area of the prism:
140mm^2 (top and bottom faces) + 120mm^2 (front and back faces) + 96mm^2 (side faces) = 356mm^2
Therefore, the surface area of the prism is 356mm^2.
1. The top and bottom faces are both rectangles with dimensions 7mm x 10mm, so the area of each of these faces is 7mm x 10mm = 70mm^2. Since there are two of these faces, the total area for both of them is 2 x 70mm^2 = 140mm^2.
2. The front and back faces are rectangles with dimensions 6mm x 10mm, so the area of each of these faces is 6mm x 10mm = 60mm^2. Since there are two of these faces, the total area for both of them is 2 x 60mm^2 = 120mm^2.
3. The two side faces are rectangles with dimensions 6mm x 8mm, so the area of each of these faces is 6mm x 8mm = 48mm^2. Since there are two of these faces, the total area for both of them is 2 x 48mm^2 = 96mm^2.
Now, add up the areas of all the faces to find the total surface area of the prism:
140mm^2 (top and bottom faces) + 120mm^2 (front and back faces) + 96mm^2 (side faces) = 356mm^2
Therefore, the surface area of the prism is 356mm^2.