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How many small cubes placed on top of the grid, fitting exactly on the squares, would it take to make a large cube?

How many small cubes placed on top of the grid, fitting exactly on the squares, would-example-1
User Jmaxyz
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1 Answer

5 votes

Answer:

8

Explanation:

You have a grid drawn and shown. The grid is a square made up of 4 small squares. There are small cubes whose faces are the size of a small square. You need to stack some of those cubes on top of the grid, so that the end result is a cube. How many cubes will you use?

Answer:

Since the grid is 2 small squares long and 2 small squares wide, to have a new, bigger cube, the cube must be 2 small squares high.

Start by placing one small cube on top of each small square in the grid.

That is one layer of small cubes containing 4 small cubes.

You don't have a large cube yet since the height is only 1 small square.

Now place another layer of 4 small squares above the ones you just placed. Now you have 2 layers of small cubes. Each layer has 4 cubes. The height is 2 small squares. The height, length and width are all equal, so now you have a bigger cube.

Total number of small cubes used: 8

User JSBach
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