Volume of a rectangular parallelepiped 8 dm3 Find the dimensions of a parallelepiped

Volume of a rectangular parallelepiped 8 dm3 Find the dimensions of a parallelepiped if they are all expressed in different natural numbers.

In order to assume what numbers can express the dimensions of the parallelepiped, about which we are talking in the presented problem, let’s try to decompose the number 8 into three factors (since the parallelepiped has three dimensions) in all possible ways (not counting permutations):

8 = 1 * 1 * 8;
8 = 1 * 2 * 4;
8 = 2 * 2 * 2.

So, as we can see, only one of the options satisfies the condition of the task.

Thus, the measurements of the required parallelepiped are equal to 1 dm, 2 dm and 4 dm.

Answer: 1 dm, 2 dm and 4 dm.