GRE Math : How to find the volume of a cube
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Example Questions
Example Question #1 :How To Find The Volume Of A Cube
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?
8
5L
4L3
2L2
2L3
2L3
The box is 2 times as long as it is high, soH=L/2. It is also 4 times as wide as it is long, soW= 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 #3 :Cubes
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 #1 :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 #2 :How To Find The Volume Of A Cube
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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