Volume of a Cube
In these lessons, we will learn
- what is volume?
- how to find the volume of a cube.
- how to solve word problems about cubes.
- about nets of a cube.
Related Pages
Volume Of Rectangular Prism
Volume Formula
More Geometry Lessons
Solid geometry is concerned with three-dimensional shapes and their properties.
What is Volume?
The volume of a three-dimensional shape is a measurement of the space occupied by the shape.
Volume is measured in cubic units.
The volume of a unit cube
= 1 unit × 1 unit × 1 unit
= 1 unit3 ( Read as one cubic unit )
The volume of a cube with sides 1 cm × 1 cm × 1 cm
Volume = 1 cm × 1 cm × 1 cm = 1 cm3 ( Read as one cubic cm )
Some important units of conversion for volume are:
1 cm3 = 1,000 mm3
1 m3 = 1,000, 000 cm3
Volume of a Cube
A cube is a three-dimensional figure with equal edges and six matching square sides.
The figure above shows a cube. The dotted lines indicate edges hidden from your view.
If s is the length of one of its sides, then the volume of the cube is s × s × s
Volume of the cube = s3
Since the cube has six square-shape sides, the
Surface area of a cube = 6s2
Worksheet to calculate volume and surface area of cubes.
How to find the volume of a cube?
Step 1: Find the length of a side
Step 2: Substitute into the equation
Step 3: Evaluate
Step 4: Write the units
Find the volume of a cube with side length of 20 feet.
Word Problems about Cubes
This video gives a word problem about the volume of cubes.
Example:
Alex formed the solid as shown below. It is made up of 2-in cubes. What is the volume of the solid?
Example:
A shipping company fills cases with boxes that are cubes. They pack 20 boxes of cubes in a case.
What are the possible dimensions of the case?
Nets of a Cube
Imagine making cuts along some edges of a cube and opening it up to form a plane figure. The plane figure is called the net of the cube. There are 11 possible nets for a cube as shown in the following figures.
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