Question

Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an

expression that represents the edge length of Julie's jewlery box, in inches.

Answer 1

Answer: ∛v

Explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ = v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!