All High School Math Resources
Example Questions
Example Question #591 : Geometry
Find the volume of the following cube:
The formula for the volume of a cube is
,
where is the side of the cube.
Plugging in our values, we get:
Example Question #11 : How To Find The Volume Of A Cube
What is the difference in volume between a sphere with radius x and a cube with a side of 2x? Let π = 3.14
6.73x3
5.28x3
4.18x3
8.00x3
3.82x3
3.82x3
Vcube = s3 = (2x)3 = 8x3
Vsphere = 4/3 πr3 = 4/3•3.14•x3 = 4.18x3
Example Question #4 : How To Find The Volume Of A Figure
The density of gold is and the density of glass is . You have a gold cube that is in length on each side. If you want to make a glass cube that is the same weight as the gold cube, how long must each side of the glass cube be?
Weight = Density * Volume
Volume of Gold Cube = side3= x3
Weight of Gold = 16 g/cm3 * x3
Weight of Glass = 3/cm3 * side3
Set the weight of the gold equal to the weight of the glass and solve for the side length:
16* x3 = 2 * side3
side3 = 16/2* x3 = 8 x3
Take the cube root of both sides:
side = 2x
Example Question #12 : How To Find The Volume Of A Cube
A cube has edges that are three times as long as those of a smaller cube. The volume of the bigger cube is how many times larger than that of the smaller cube?
If we let represent the length of an edge on the smaller cube, its volume is .
The larger cube has edges three times as long, so the length can be represented as . The volume is , which is .
The large cube's volume of is 27 times as large as the small cube's volume of .
Example Question #2 : How To Find The Volume Of A Cube
If a cube has its edges increased by a factor of 5, what is the ratio of the new volume to the old volume?
A cubic volume is . Let the original sides be 1, so that the original volume is 1. Then find the volume if the sides measure 5. This new volume is 125. Therefore, the ratio of new volume to old volume is 125: 1.
Example Question #11 : How To Find The Volume Of A Cube
A cube has a side length of meters. What is the volume of the cube?
The formula for the volume of a cube is:
Since the length of one side is meters, the volume of the cube is:
meters cubed.
Example Question #12 : How To Find The Volume Of A Cube
If the length of the side of a cube is , which expression represents the volume of the cube?
none of the other answers
The formula for the volume of the cube is
Plugging that into Volume equation, we find and
Thus, the answer is 512x6
Example Question #13 : How To Find The Volume Of A Cube
A tank measuring 3in wide by 5in deep is 10in tall. If there are two cubes with 2in sides in the tank, how much water is needed to fill it?