this cube is cut into 64 equal pieces....................................asdflkasufoiwerflkasdjf;laskudof
Coal cubes: 0. Sugar cubes: 0 Painted cubes: maybe some of them.
Only the 8 corner cubelets of the original large cube will have three painted faces.
0 sides are not painted! So all the cubes have three faces painted!
How many smaller cubes are not painted at all if a cube is painted green on all sides & cut into 64 cubes of equal size?
0 - you said it's only 1 cube even if it's a big one
It depends on how the rectangular solid is built. If the side of a cube is "a", then your original solid could be a x a x 54a, or a x 2a x 27a, or 2a x 3a x 9a or one of quite a few others, and the answer depends on the one you specify.
I am assuming that your question states that the top and sides are painted red but the bottom isn't. If so, the answer is:- There are no cubes with 4 faces painted, the most that can be painted is 3 for the ones on the corners. There are 4 corners at the top of the cube that will have their top and 2 sides painted. Therefore there are 4 cubes with 3 painted. The cubes at the corners on the second and third row down will have 2 faces painted, as will the middle cubes on the top row so there are 12 of them in this puzzle. The cube in the middle of each painted face will have just one face painted so this is 5 (assuming the bottom isn't painted). The cubes in the middle of the bottom row will also have one face painted. This brings the total to 9 That is the total of cubes that have paint on them... 4+12+9 = 25 There are 27 cubes in your puzzle so only 2 have no painted faces. The cube right in the middle and the cube in the middle of the bottom layer.
Answer = 8. The only small cubes with paint on three faces are those that occupied the corners of the original cube.
All the little cubes except the one at the middle will have 1, 2 or 3 faces with paint on them, ie 26 of them will have some paint on them: 0 faces painted - 1 cube 1 face painted - 6 cubes (the centre ones of each side) 2 faces painted - 12 cubes (the ones in the centre of where two sides meet) 3 faces painted - 8 cubes (the ones in the corners).
The entire outer layer is painted so an 8x8x8 block inside isn't painted. Zero. All cubes are painted on at least one side and the 10x10x10 cube is painted on all sides. It's a 10x10x10 cube meaning there are 1000 cubelets. Ones on the inside too. So 8x8x8 = 512.
10
8