Question

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

Answer 1

Step-by-step explanation:

a cube has 8 sized

64 ×8 equal 512.

Answer 2

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

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

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

$\begin{array}{c}{64=6 s^{2}} \\\\ {\frac{64}{6}=s^{2}} \\\\ {10.66=s^{2}}\end{array}$

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