The lateral area (LA) of a prism can be calculated using the formula:
LA = perimeter of the base × height
Perimeter of the base = 2(4 + 5) = 2(9) = 18
Height = 11
LA = 18 × 11 = 198 square inches
The surface area (SA) of a prism can be calculated using the formula:
SA = 2 × base area + LA
Base area = length × width = 4 × 5 = 20
LA = 198
SA = 2(20) + 198 = 40 + 198 = 238 square inches
Therefore, the lateral area of the prism is 198 square inches and the surface area is 238 square inches.
Use formulas to find the lateral area and surface area of the prism.
4 in
5 in
11in
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1 answer