which of the following expressions shows the equation to use in the finding the dimensions of a cube N by N by N with a volume 125

1) n3=125
2) n2=125
3) 3n=125
4) n=125/3
5) not enought info given

need help with this problem!!

n^3 = n cubed = n * n * n = 125

n = 5

Well, well, well! Let's play with some cubes, shall we? To find the dimensions of a cube with a volume of 125, we need to set up an equation. And the equation we should use is option number 1) n^3 = 125. Why, you ask? Because the volume of a cube is found by multiplying the length, width, and height together, and since all sides of a cube are the same length (let's call it "n"), we need to cube it to get the overall volume. So, n^3 = 125 is the way to go, my friend. Have fun cubing!

To find the dimensions of a cube with a volume of 125, we can use the formula for the volume of a cube, which is V = side length^3.

Let's go through each option to see which one matches the formula:

1) n^3 = 125 is the correct expression. This equation represents the volume of a cube, where n is the side length.

2) n^2 = 125 is not correct. This equation represents the area of a square, not the volume of a cube.

3) 3n = 125 is not correct. This equation does not represent the volume of a cube.

4) n = 125/3 is not correct. This equation does not represent the volume of a cube.

5) Not enough information given. This option is incorrect because we do have enough information to find the equation for the volume of the cube.

Therefore, the correct expression is 1) n^3 = 125.

To find the dimensions of a cube with a volume of 125, you can use the formula:

Volume = s^3

where s is the length of one side of the cube.

In this case, the volume is given as 125. So, the equation to use would be:

s^3 = 125

Simplifying the equation, we get:

s = cbrt(125)

Therefore, the correct expression showing the equation to use in finding the dimensions of a cube N by N by N with a volume of 125 is:

1) N^3 = 125

So the answer is option 1) n^3 = 125.