Question

the faces of a cube have an area of 0.01 square units each. what is the cubes volume? cubic units

Explanation:

Step1: Find the side - length of the cube

Let the side - length of the cube be $a$. The area of one face of a cube is $A = a^{2}$. Given $A = 0.01$, then $a=\sqrt{0.01}=0.1$.

Step2: Calculate the volume of the cube

The volume of a cube is $V=a^{3}$. Substitute $a = 0.1$ into the formula, we get $V=(0.1)^{3}=0.001$.

Answer:

$0.001$