Find the side length of the cube with the given volume.

A.
625 m

B.
125 m

C.
25 m

D.
5 m
a explanation would be nice

Question

Find the side length of the cube with the given volume.
  

 
 A.
625 m
 
 B.
125 m
 
 C.
25 m
 
 D.
5 m
a explanation would be nice

anonymous · Answer

attachment

anonymous · Answer

Hello,

Do you know that standard formula to find the volume a cube?

anonymous · Answer

no thats why i also asked for a explanation

anonymous · Answer

The question is assuming that you know how to find the volume of the cube, and asks for you to find the side length. 

To get the volume of a cube: $V = a^3$

Follow so far?

anonymous · Answer

yes

anonymous · Answer

Since we know that: $V = a^3$

We need a way to reverse the equation to solve for $a$. Do you know how to rewrite the equation to do that?

anonymous · Answer

no

anonymous · Answer

Okay look it at this way, we know the volume is $125m^3$.

We have a equation: $V = a^3$
We want to solve for $a$.

Notice how $V$ is $a$ but cubed. As with exponents to "reverse" being cubed do:
$x^{1/3}$ and for squaring $x^{1/2}$.

See the pattern? Now input:
$125^{1/3}$

What do you  get?