Question

The volume of a cube is 512cm³ find suface area of a cube​

Answer 1

Answer:

volume of cube =side×side×side=a³

512=a³

a=8

the surface area of a cube=6a²

6×8²=6×64

=384cm²

Answer 2

Answer:

Therefore, the surface area of a cube is $384\;cm^{2}$

Step-by-step explanation:

As per the data provided in the question,

The given data is as follows.

We have the volume of a cube (v) is $512\;cm^{3}$

We have to find the surface area of a cube (a).

We will use the formula of the volume of a cube.

We know that

$V=a^{3}$

So we get

Each edge of the cube =$\sqrt[3]{512}$

$=8$

We know that

The Surface area of a cube =$6a^{2}$

We will substitute the value in the above formula.

=$6(8)^{2}$

The square of 8 is 68.

$=6\times64$

We will multiply 4 into 6, we get 24 and 6 into, we get 36.

$=384\;cm ^{2}$

Therefore, the surface area of a cube is $384\;cm^{2}$.