Question
Use formulas to find the lateral area and surface area of the prism.
4 in
5 in
11in
4 in
5 in
11in
Answers
GPT 3.5
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.
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.