Jason is going to build 4 by 4 by 4 cube out of smaller (1 by 1 by 1) cubes but is short on them. How many more small cubes does he need?

Answer 1

Hi Anushka,

The volume of the cube is given by the following formula:

V = s³

where s is the length of the side.

Since s = 4, then the volume is

V = 4³

V = 64 units³

The volume of the small cube can be found the same way:

V = 1³

V = 1 units³

The question doesn't tell me how many small cubes he has to begin with. However, to figure out the question, you would multiply the number of small cubes by their volume of 1 units³. Once this number is found you subtract is from the volume of the big cube: 64 units³.

Hope this helps! :)