Question

3. A cube is a three-dimensional figure as
9 shown in Fig 11.11. It has six faces and all Fig 11.10
5 of them are identical squares. The length
of an edge of the cube is given by I. Find the formula for the
total length of the edges of a cube
Fig 11.11​

Answer 1

Answer:

A cube consists of 6 faces and 6 equal squares. So, the length of all the edges are equal.

Total number of edges =12

Formula =12*l=12l

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Answer 2

The total length of the edges of a cube is $12l$.

Step-by-step explanation:

Consider the provided information.

The length  of an edge of the cube is given by I.

It is given that cube has six faces which are identical squares.

That means all sides must be equal.

Now find the total length of all the sides.

Consider the figure shown below:

The total length of all sides are:

Total length = AB+CD+BC+EF+AD+BE+CF+GF+DG+GH+HE+AH

Total length = $l+l+l+l+l+l+l+l+l+l+l+l$

Total length = $12l$

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

#Learn more

The surface area of a cube is 486 sq.cm.Find the area of the cube

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