How to find the length of an edge of a cube
Help Questions
ISEE Upper Level Quantitative Reasoning › How to find the length of an edge of a cube
The above cube has surface area 486. Evaluate 
Explanation
The surface area of a cube is six times the square of the length of each edge, which here is 
Substituting, then solving for 
Since the sidelength is positive,
The volume of a cube is 
Explanation
Let 
You have a crate with equal dimensions (height, length and width). If the volume of the cube is 
Not enough information to solve the equation.
Explanation
You have a crate with equal dimensions (height, length and width). If the volume of the cube is 
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
You have a cube with a volume of 
Explanation
You have a cube with a volume of 
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
If the volume of a cube is 30, what must be the length of the edge of the cube?
Explanation
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
You have a cube with a volume of
Explanation
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of 
Explanation
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of 
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
