Answer:
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
[tex]\text { Surface Area }=6\left(s^{2}\right)[/tex]
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
[tex]\begin{array}{c}{64=6 s^{2}} \\\\ {\frac{64}{6}=s^{2}} \\\\ {10.66=s^{2}}\end{array}[/tex]
sqrt(10.66)=s
s = 3.27
Now, the formula for volume of a cube is given as [tex]v=S^{3}[/tex]
Thus, the volume of the cube is
[tex]v=(3.27)^{3}=34.97[/tex]
Therefore, the volume of the above given cube whose surface area is 64 cm square is 34.97 cm cube
