Answer:
[tex]V=343\,\,cm^3[/tex]
Step-by-step explanation:
Recall that fractional exponents are other form of representing roots.
In our case, the formula for the volume of the cube in terms of area of a face, is also written as:
[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]
which for the case of a cube with face area of 49 cm^2 becomes:
[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]
