Using the net of the prism shown, what is the surface area?
(1 point)
mm2
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To calculate the surface area of the prism, we need to find the area of each face and add them all together.
1. The front and back faces are rectangles with dimensions 10mm by 8mm. The area of each face is 10mm * 8mm = 80mm^2. Since there are two of these faces, the total area for both front and back faces is 2 * 80mm^2 = 160mm^2.
2. The top and bottom faces are squares with sides of 10mm. The area of each face is 10mm * 10mm = 100mm^2. Since there are two of these faces, the total area for both top and bottom faces is 2 * 100mm^2 = 200mm^2.
3. The two side faces are rectangles with dimensions 7mm by 8mm. The area of each face is 7mm * 8mm = 56mm^2. Since there are two of these faces, the total area for both side faces is 2 * 56mm^2 = 112mm^2.
Adding all the areas together, we get:
160mm^2 (front and back) + 200mm^2 (top and bottom) + 112mm^2 (sides) = 472mm^2
The surface area of the prism is 472mm^2.