Q.

A cube is a three-dimensional figure as shown in Fig. It has six faces and all of them are identical squares. The length of an edge of the cube is given by š‘™. Find the formula for the total length of the edges of a cube.

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a

3l

b

6l

c

12l

d

4l

answer is B.

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Detailed Solution

It is given that the length of one edge of the cube = l 

So, the length of one edge of the cube = š‘™

 From the figure, we see that there are 12 edges, Number of edges in the cube =12 

Therefore, Total length = Number of edges in the cube Ɨ length of a single edge of the cube 

∓Total length = 12 Ɨ l

 āˆ“Total length = 12š‘™ 

Hence, the formula for the total length of the edges of a cube is 12l.

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