Answer:
3
Step-by-step explanation:
A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?
Find the perimeter of the base.
P = 2l + 2w Perimeter of a rectangle
P = 2(8) + 2(6) Substitute: l = 8 and w = 6
P = 28
Use the formula for lateral area.
L = Ph
84 = (28)h Substitute: L = 84 and P = 28
h = 3 Solve for h.
The height of the prism is 3 inches.
