You have a cube made of 10 x 10 x 10 smaller cubes, for a total of 1000 smaller cubes. If you take off 1 layer of cubes, how many remain?

Answer 1

REMEMBER that volume is Length*Width(Height.

If there are 1000 (that is 10 cubes long by 10 cubes wide by 10 cubes high), then taking off 1 layer of cubes leaves 900 cubes remain (that is 10 cubes long by 10 cubes wide by 9 cubes high).

This assumes that "one layer" means one 10x10 square of cubes off the top. There is 10*10*9 remaining.

However, if "one layer" means to peel (like peeling an onion), that leaves 8x8x8 = 512 cubes remaining.