Question

Help me with this pls​

Answer 1

8 cm³

Explanation:

Let
`x` be the length of one edge of the cube.

A cube has 12 edges.

Therefore, if the total length of all the edges of a cube is L cm, then we can write this as: L = 12
`x`

A cube has 6 square faces. Area of each face = length x width. If the length and width of the cube is
`x` (as already defined), then the surface area of one face is
`x^2`. Therefore, the surface area of the cube = 6
`x^2`

Therefore, if the surface area = total length of the edges:

`6x^2=12x`

divide by
`x`:
`6x=12`

divide both sides by 6:
`x=2`

So the length of each edge of the cube is 2 cm

Now we know the length of each of the edges of the cube, we can calculate the volume:

Volume = width x length x height

= 2 x 2 x 2

= 8 cm³