In a regular quadrangular prism, the base area is 100, and the height is 2√31. Find the diagonal of the prism.

univerkov | February 16, 2021 | education

Since the prism is correct, there is a square at its base, and since the base area is 100 cm2, the side of the square will be: AB = BC = CD = AD = √100 = 10 cm.

Let us determine the diagonal of the prism through its known measurements.

CA1 ^ 2 = AD ^ 2 + CD ^ 2 + CC1 ^ 2 = 100 + 100 + 124 = 324.

CA1 = 18 cm.

Answer: The diagonal of the prism is 18 cm.

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