Question

How many minimum number of cuts are required if a cube of volume 729 cubic units is to be cut into unit cubes?​

Answer 1

Answer:

Explanation:

as they assume that the cuts are made orthogonally. If we simplify the problem to that of a square being cut into pieces, it is easy to see that we can get more pieces with fewer cuts by increasing the number of intersections - simply by making the cuts at angles that cross a higher number of other cuts

Answer 2

Given,

A cube of volume 729 cubic units.

To Find,

The number of cuts required to cut this cube into unit cubes.

Solution,

We can simply cut the given 729 cubic units cube into unit cubes by making an equal number of cuts in all the directions.

729= 9×9×9.

If we divide every side into 9 equal parts we will get 729 unit cubes.

To divide each side into 9 parts we have to make 8 cuts in each direction.

Since 8 cuts are made in each direction, the total number of cuts required is 8+8+8= 24.

Hence, we need to make a total of 24 cuts to get the desired unit cubes.