Use formulas to find the lateral area and surface area of the prism.

Question

15in 17in
18in

Answer 1

Given the dimensions of the prism:
Height = 15 inches
Base length = 17 inches
Base width = 18 inches

To find the lateral area, use the formula for the lateral area of a rectangular prism:
Lateral Area = 2(height)(base width + base length)
Lateral Area = 2(15)(18 + 17)
Lateral Area = 2(15)(35)
Lateral Area = 1050 square inches

To find the total surface area, use the formula for the total surface area of a rectangular prism:
Surface Area = 2(base width)(base length) + 2(base length)(height) + 2(base width)(height)
Surface Area = 2(18)(17) + 2(17)(15) + 2(18)(15)
Surface Area = 2(306) + 2(255) + 2(270)
Surface Area = 612 + 510 + 540
Surface Area = 1662 square inches

Therefore, the lateral area of the prism is 1050 square inches and the total surface area is 1662 square inches.