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

| June 17, 2021 | education

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

1. Knowing the volume of a rectangular parallelepiped and the length of its two dimensions, you can find the third, for this you need to use the formula for the volume of a rectangular parallelepiped.

V = a * b * c, therefore, in order to find the value of an unknown measurement, it is necessary to divide the volume of a rectangular parallelepiped by the product of its two known measurements.

a = V / (b * c) = 180 / (6 * 15) = 30/15 = 2 dm.

2. Knowing that there are 4 edges of each dimension in a parallelepiped, we write down and calculate the following expression.

4 * (a + b + c) = 4 * (6 + 15 + 2) = 4 * 23 = 92 dm.

Answer: The sum of the lengths of all ribs is 92 dm.



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