find the surface area for the given prism
A height of 8 inches width of 10 and a width of
To find the surface area of a prism, we need to calculate the area of each face and then add them together.
In this case, the prism has a rectangular base with dimensions of 10 inches by 8 inches.
1. The two bases of the prism have an area of 10 inches by 8 inches = 80 square inches each.
2. The four lateral faces of the prism have a height of 8 inches and a width of 10 inches. Since there are four of these faces, we need to multiply the width by the height and then multiply by 4:
10 inches * 8 inches * 4 = 320 square inches
3. Add the area of the bases and the lateral faces to find the total surface area of the prism:
80 square inches (bases) + 320 square inches (lateral faces) = 400 square inches
Therefore, the surface area of the prism is 400 square inches.