The volume of a rectangular parallelepiped is exactly 180 dm3, and its two dimensions are 6 dm and 15 dm.

| September 7, 2021 | education

The volume of a rectangular parallelepiped is exactly 180 dm3, and its two dimensions are 6 dm and 15 dm. Find the sum of the lengths of all edges of the parallelepiped.

Let’s calculate the area of the base of the parallelepiped:

15 * 6 = 90 dm2 – base area.

Let’s calculate the height of this parallelepiped:

180: 90 = 2 dm – the height of this parallelepiped.

Let’s calculate the sum of lengths:

15 * 6 = 90 dm – the sum of the lengths of the parallelepiped.

Let’s calculate the sum of latitudes:

6 * 6 = 36 dm – the sum of the latitudes of the parallelepiped.

Let’s calculate the sum of the lengths and latitudes of the parallelepiped:

90 + 36 = 126 dm – the sum of the lengths and latitudes of the parallelepiped.

Let’s calculate the sum of heights:

2 * 6 = 12 dm – the sum of the heights of the parallelepiped.

Let’s calculate the sum of the lengths of all edges:

126 + 12 = 138 dm – the sum of the lengths of all ribs.

Answer: 138 dm.



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