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no, 75 is not a cube. The small cubes are 0, 1,8,27,64,125,.. which are the cubes of 0,1,2,3,4, and 5 respectively.
To calculate the number of small cubes that can fit inside the largest cube, we need to find the volume of each cube. The formula for volume is side length cubed. So, the volume of the small cube is 1mm x 1mm x 1mm = 1mm³, and the volume of the largest cube is 4mm x 4mm x 4mm = 64mm³. Therefore, it would take 64 small cubes to fill the largest cube.
A Cube.
The distance from n^3 to the next cube is 3n^2 + 3n + 1.
You need to know how to 'cube ' a number , to calculate Volumes of things. You also need to know how to calculate a 'cubed root' to find the lengths of the sides of a box which is cube shaped . Engineers use special formulas which involve cube and cube root. Most people have no need in their life, to perform these mathematical processes, but school students are taught these processes, so that they will learn how to think and how to develop their brain, and how to solve problems in life.