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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?

What is the height of the prism??


Sagot :

The answer would be 1.75 or 70

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.