# The two edges of a rectangular parallelepiped extending from one vertex are 12

September 29, 2021 | education

| **The two edges of a rectangular parallelepiped extending from one vertex are 12 and 5, and the volume of the parallelepiped is 540. Find the surface area of this parallelepiped.**

Since the volume is equal to the product of the area and the height, the height is: 12 * 5 * x = 540, where x = 9.

To find the total surface area, you need to find the base area and side area.

The lateral surface area is: (12 + 5) * 2 * 9 = 306.

And the area of the base is: 12 * 5 = 60.

Then the total surface area is: 306 + 2 * 60 = 426.

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