Find the sum of the lengths of all edges of a rectangular parallelepiped, the surface area
| March 18, 2021 | education
Find the sum of the lengths of all edges of a rectangular parallelepiped, the surface area of this parallelepiped is 384 m2.
This is a cube, otherwise the problem will not be solved !!! The surface area of a parallelepiped is found by summing its 6 faces. All of them are equal in area.
Find the area of one face:
384/6 = 64.
The area of one face is obtained by the product of its sides, which are equal to each other. Hence, one side is equal to:
A = √64 = 8.
The number 8 is the edge of the parallelepiped. Their number is 12.
We find the total sum of the edges of the parallelepiped:
8 * 12 = 96.
Answer: the sum of all the edges of the parallelepiped is 96 m.
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