Maximum number of cubes

Geometry Level pending

What is the maximum number of $2$ inch by $2$ inch by $2$ inch solid cubes that can be cut from six solid cubes that are $1$ foot on each side?

6^7

6^3

6^5

6^4

6^2

1 solution

Hana Wehbi
Aug 17, 2017

Since 1 ft = 12 in $\implies$ we can have $6\times 6\times 6$ small cubes that are $2\times2\times2$ .

We have $6$ cubes in total $\implies = 6\times (6 \times 6 \times 6) = 6^4$