. Stephanie has a jewelry box shaped like a cube with a volume of 125 cubic inches. Write an expression to find the edge length of the jewelry box in inches.​

25

Step-by-step explanation:

To get this right, we need to get the correct formula for the volume of a cube.

Imagine this:

What is the area of a square? Easy ! Length of the edge times itself. You can imagine what this means as the edge if the we have one line E move straight along an E-long line, the path it made is the square.

Similarly to the cube. Imagine what can be a volume of a cube with edge E that has something to do with the edge?

That's right. A square with edge Emove vertically straight in a E-long line. So the correct volume should be the area of the square times the length of its edge. But the area of the square is already the edge times itself

In formula, if a cube has volume V and edge length E, we have the equation.

V = E×E×E

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: