Question

One thousand unit cubes are fastened together to form a large cube with edge length 10 units; this is painted and then separated into the original cubes. The number of these unit cubes which have at least one face painted is:

Answer 1

Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.

How many cubes will have one face painted on?

The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.

The number of unpainted cubes per surface is therefore:

= 10 - 2

= 8 cubes

Number of unpainted cubes is:

= 8 x 8 x 8

= 512 cubes

Number of cubes with one face painted:

= Total cubes - Number of unpainted cubes

= 1,000 - 512

= 488 cubes.

Find out more on working with cubes at https://brainly.com/question/1972490.

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