Question

help me with this pls​

Answer 1

Answer:

8 cm³

Step-by-step 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