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Question

Shishir is making a cube of side 6 cm using cubes of sides 2 cm. How many such cubes are needed?


A

216

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B

27

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C

9

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D

36

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Solution

The correct option is B

27


Given side of the cube is 2 cm. To make a cube of side 6 cm, we start off with arranging the available 2 cm cubes in all the dimensions. First for making the length 6 cm, we need 3 cubes of 2 cm each. Similarly, complete the breadth and height of the cube with 3 and 3 cubes repectively of 2 cm. So the total number of cubes needed is 3 x 3 x 3 = 27 to make a cube of side 6 cm.


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