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The formula for calculating the area and volume of a cube has illustrative examples
The cube is one of the 3D geometries that appear frequently in everyday life. The following are the concepts, properties, formulas for the area of a cube, as well as its volume. Besides, it also brings extremely useful note when calculating.
1. Concepts and properties cubes
- Concept
A cube is a puzzle with 6 faces, 8 vertices, 12 edges, all faces are equal squares, equal sides. A cube can be understood as a cube with equal width, length and height.
- Properties of the cube
+ There are 6 symmetrical and equal planes.
+ There are 12 equal edges.
+ The diagonal of the sides is equal.
+ Diagonal cubes are equal.
2. Formula to calculate the area of a cube
- Formula to calculate the area around the cube
The area around the cube is equal to the square of the lengths of one side multiplied by four.
In which :
+ a: is the length of one side.
+ S: is the surrounding area.
Here, WebTech360 will send you an illustrative example to make it easier for you to apply the formula. Let A'B'C'D'.ABCD's cube have a side length of 8cm. Calculate its surrounding area.
Applying formula. We have: S = 4 xaxa = 4 x 8 x 8 = 256 (cm2).
- Formula to calculate the total area of the cube
The total area of the cube equals the square of the lengths of one side multiplied by six.
In which :
+ a: is the length of one side.
+ S: is the total area.
Example: Given a blue cube that is 10cm on one side. Calculate the total area of the image above.
Applying the above formula we have S = 6 x 10 x 10 = 600 (cm2).
3. Formula for calculating volume of a cube
Volume of a cube equals a cube of one side length.
In which :
+ a: is the length of one side.
+ V: is the volume.
Reference example for volume calculation. Let A'B'C'D'.ABCD cube of length BB '= 5cm. Calculate the volume of the cube.
Applying the formula we have V = axaxa = 5 x 5 x 5 = 125 (cm3).
4. Note when doing cube exercises
- Units of volume calculated by block (eg cubic meter (m3)).
- Unit area calculated in units of measure exponential 2 (such as square meter (m2)).
Hopefully the article will bring useful knowledge. Good luck!
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