GRE Math : How to find the volume of a cube
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Example Questions
Example Question #22 : Solid Geometry
What is the volume of a rectangular box that is twice as long as it is high, and four times as wide as it is long?
4L3
5L
2L3
2L2
8
2L3
The box is 2 times as long as it is high, so H = L/2. It is also 4 times as wide as it is long, so W = 4L. Now we need volume = L * W * H = L * 4L * L/2 = 2L3.
Example Question #1 : How To Find The Volume Of A Cube
What is the volume of a cube with a surface area of 
The surface area of a cube is merely the sum of the surface areas of the 
Solving for 
Now, the volume of a cube is defined by the simple equation:
For 
Example Question #24 : Solid Geometry
The volume of a cube is 
Recall that the volume of a cube is defined by the equation:
Therefore, if we know that 
This means that 
Now, if we triple 
Example Question #2 : How To Find The Volume Of A Cube
What is the volume of a cube with surface area of 
Recall that the equation for the surface area of a cube is merely derived from the fact that the cube's faces are made up of 
For our values, this is:
Solving for 
Now, the volume of a cube is merely:
Therefore, for 
Example Question #25 : Solid Geometry
A cube has a volume of 64, what would it be if you doubled its side lengths?
To find the volume of a cube, you multiple your side length 3 times (s*s*s).
To find the side length from the volume, you find the cube root which gives you 4
Doubling the side gives you 8
The volume of the new cube would then be 512
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