Question

Julie has a jewelry box shaped like a cube. The volume of the jewelry box is v cubic inches. Part A: Write an expression that represents the edge length of Julie’s jewelry box in inches.

Answer 1

Answer:

∛v

Step-by-step explanation:

As you already should know, volume is measured by hwl (height • width • 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.

Thus, 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.