Question

Can someone please help me (25 points)

Answer 1

`V=343\,\,cm^3`

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:

`V=A^(3)/(2) =(√(A) )^3`

which for the case of a cube with face area of 49 cm^2 becomes:

`V=(√(49) )^3=7^3=343\,\,cm^3`