Question

Can someone please help me (25 points)

Answer 1

Answer:

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

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:

$V=A^\frac{3}{2} =(\sqrt{A} )^3$

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

$V=(\sqrt{49} )^3=7^3=343\,\,cm^3$