Question

In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?

Answer 1

There are 168 black cubes in the arranagement.

A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.

To get the number of black cubes in the arrangement, we will use the equation below;

• Number of black cubes = Total number of black cubes on a face * number of small cubes along the edge
• Number of black cubes = 24 * 7
• Number of black cubes = 168

Hence there are 168 black cubes in the arrangement.

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