A rectangular prism has a length of 9 inches and a width of 8 inches. The lateral area is 170 square inches. What is the height of the prism? The height of the prism is inches.

The height of the prism is 5 inches

Step-by-step explanation:

The rule of the lateral area of the rectangular prism is

L.A = 2(L + W) × H, where

∵ A rectangular prism has a length of 9 inches and a width of 8 inches

∴ L = 9 inches

∴ W = 8 inches

∵ The lateral area of it is 170 square inches

∴ L.A = 170 square inches

→ Substitute them in the rule above to find the height of the prism

∵ 170 = 2(9 + 8) × H

∴ 170 = 2(17) × 5

∴ 170 = 34 × H

→ Divide both sides by 34 to find H

∴ 5 = H

∴ The height of the prism is 5 inches.

a 10 percent increase