find the surface area for the given prism
A height of 8 inches width of 10 and a width of 14
The surface area of a prism can be calculated by adding the areas of each of its faces.
The given prism has 2 bases, each with a width of 10 inches and a length of 14 inches. The area of each base can be calculated as:
Area of base = width * length = 10 * 14 = 140 square inches
The prism also has 4 rectangular faces, each with dimensions of 10 inches by 8 inches. The area of each face can be calculated as:
Area of face = width * height = 10 * 8 = 80 square inches
Therefore, the total surface area of the prism can be calculated by adding the areas of all the faces:
Total surface area = 2 * (Area of base) + 4 * (Area of face)
Total surface area = 2 * 140 + 4 * 80
Total surface area = 280 + 320
Total surface area = 600 square inches
Therefore, the surface area of the given prism is 600 square inches.