Question

You have a 10x10x10 inch cube that is made up of little 1x1x1 inch cubes. You paint the outside of the big rube red. How many little cubes have paint on at least one of their sides?

Answer 1

The number of little cubes with paint on at least one side is 16.

Step-by-step explanation:

To find out how many little cubes have paint on at least one of their sides, we need to calculate the surface area of the big cube and then divide it by the surface area of each little cube. The surface area of the big cube is 6 times the area of one face, which is 10x10 = 100 square inches. The surface area of each little cube is 6 square inches. So the number of little cubes with paint on at least one side is 100 divided by 6, which is approximately 16.67. Since we can't have a fraction of a cube, the answer is 16 little cubes.

Answer 2

we know that 9 by 9 by 9 of them are inside or 729
the 10 by 10 by 10 one has 1000 cubes
the ones that are inside are the ones that are not covered
total-inside=painted
1000-729=271

271 have paint on at least 1 face