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Question

Shishir is making a larger cube of side 6 cm using cubes of side 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 27 to make a cube of side 6 cm.

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