# The base area of a regular quadrangular prism is 36 and its total surface area is 144 which

September 29, 2021 | education

| **The base area of a regular quadrangular prism is 36 and its total surface area is 144 which is equal to the height of the prism**

Since the prism is correct, there is a square at its base.

Knowing the area of the base, we determine its side.

Sbn = АD ^ 2 = 36.

AD = AB = BC = CD = 6 cm.

Determine the perimeter of the square at the base of the prism.

P = 4 * AD = 4 * 6 = 24 cm.

Let us determine the height of the prism through the area of the lateral surface.

S side = P * AA1.

AA1 = S side / P = 144/24 = 6 cm.

Answer: The height of the prism is 6 cm.

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