Question

What is the volume of a cube whose surface area is 64 cm square ?

Answer 1

Explanation:

a cube has 8 sized

64 ×8 equal 512.

Answer 2

The volume of the cube whose surface area is 64 cm square is 34.97 cm cube

Solution:

The formula for the surface area of cube is given as

`\text { Surface Area }=6\left(s^(2)\right)`

Where s => side of the square)

Now, given surface area of the cube, in the question, is 64 cm square

Thus, substituting the value in formula we get

`\begin{array}{c}{64=6 s^(2)} \\\\ {(64)/(6)=s^(2)} \\\\ {10.66=s^(2)}\end{array}`

sqrt(10.66)=s

s = 3.27

Now, the formula for volume of a cube is given as
`v=S^(3)`

Thus, the volume of the cube is

`v=(3.27)^(3)=34.97`

Therefore, the volume of the above given cube whose surface area is 64 cm square is 34.97 cm cube