The volume of a cube is related to the area of a face by the formula V= A^3/2. What is the volume of a cube whose face has an area of 49cm^2

Answer 1

V = A**3/2

Using the laws of exponents that equation is the same as V = (A**1/2)**3

A**1/2 is really just the square root of A.

We are given that a face has an area of 49 cm**2

Substituting 49 for A in the above equation:

V = (49**1/2)**3 = 7**3 = 7*7*7 = 343 cm^3