The volume of a rectangular parallelepiped is 180 dm3 and its two dimensions are 6 dm and 15 dm.
| August 12, 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 the edges of the parallelepiped.
The volume of a rectangular parallelepiped is calculated by the formula:
V = a * b * c. Provided that its value is 180 dm³, and the two known measurements are 6 and 15 dm³, first of all we will find the unknown length of the rib.
c = V: a: b = 180: 6: 15 = 30: 15 = 2 dm.
The sum of the lengths of all the edges of a rectangular parallelepiped corresponds to:
L = 4 * (a + b + c). Substitute the values and write the expression:
L = 4 * (6 + 15 + 2) = 4 * 23 = 92 dm.
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