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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 𝑙. 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 = 𝑙

 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 × length of a single edge of the cube 

Total length = 12 × l

 Total length = 12𝑙 

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

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