Volume of cube
Understand the Problem
The question is asking for the calculation of the volume of a cube, which is typically determined by the formula V = a³, where 'a' represents the length of one side of the cube.
Answer
The volume of the cube is \( V = a^3 \).
Answer for screen readers
The volume of the cube is given by ( V = a^3 ).
Steps to Solve
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Identify the side length of the cube
First, you need to know the length of one side of the cube. Let's say the length of the side is given as ( a ). -
Apply the volume formula for a cube
The formula for the volume ( V ) of a cube is given by:
$$ V = a^3 $$
This means you need to raise the length of the side to the power of 3. -
Substitute the value of ( a )
Once you have the value of ( a ), substitute it into the formula. For instance, if ( a = 4 ):
$$ V = 4^3 $$ -
Calculate the volume
Now compute ( a^3 ). If ( a = 4 ), then:
$$ V = 4^3 = 4 \times 4 \times 4 = 64 $$
Thus, the volume of the cube would be ( 64 ) cubic units.
The volume of the cube is given by ( V = a^3 ).
More Information
The volume of a cube represents the amount of space inside the cube. It is measured in cubic units, like cubic centimeters (cm³) or cubic meters (m³). Understanding the volume helps in real-world applications, such as determining how much liquid a container can hold.
Tips
- Forgetting to cube the side length and incorrectly using ( V = a^2 ).
- Confusing the dimensions by mixing up units (e.g., calculating with different measurement systems).
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