What Is the Maximum Possible Number of Pieces into Which a Cube Can Be Cut by 19 Cuts?

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Along 9cm we can fit 9/3 = 3 cubes perfectly. Along 6 cm we can fit 6/3 = 2 cubes perfectly. So taking these numbers we can cut a total of 3 x 3 x 2 = 18 cubes from this cuboid. A cuboidal piece of 1 cm x 9cm x 6cm will be left unused. By using volume. Let’s assume that ’n’ cubes can be cut out from the cuboid.

How to calculate the total number of cubes?

Now, to compute number of cubes, we know total volume of cuboid and can find volume of one cube (since side is already calculated). So, total number of cubes is equal to (volume of cuboid)/ (volume of cube) i.e (l * b * h)/ (x * x * x). Below is implementation of this approach: // cuboid into cubes. // Print the maximum side and no of cube.

How to divide cuboid into minimum number of cubes?

Given the length, breadth, height of a cuboid. The task is to divide the given cuboid in minimum number of cubes such that size of all cubes is same and sum of volumes of cubes is maximum. Input : l = 2, b = 4, h = 6 Output : 2 6 A cuboid of length 2, breadth 4 and height 6 can be divided into 6 cube of side equal to 2.