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

1. n3 =125
2. n2 =125
3. 3n =125
4. n =125
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3

5. not enough information is given

I'll be glad to check your answer.

1. n3 = 125

Right!

Please use the same name for all of your posts.

thank you kiera & ms.sue !

To find the dimensions of a cube, you need to use the equation:

Volume = Side length * Side length * Side length

In this case, the volume of the cube is given as 125. Let's go through the given options to identify the equation that matches the formula for finding the dimensions of the cube.

1. n^3 = 125
This equation represents the cube of the side length, which matches the formula for the volume.
So, this equation is the correct option.

2. n^2 = 125
This equation represents the square of the side length, which does not match the formula for the volume.
This option is incorrect.

3. 3n = 125
This equation relates to a different aspect and not the dimensions or volume of the cube.
This option is incorrect.

4. n = 125^(1/3)
This equation represents finding the cube root of 125, which would give the side length of the cube.
It does not give the dimensions (length, width, and height) of the cube.
This option is incorrect.

5. Not enough information is given.
This option is incorrect as we already have the volume of the cube, which is sufficient to find its dimensions.

Therefore, the correct answer is option 1. n^3 = 125.