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What is volume? | Year 6 Mathematics PDF Download
Volume
- Volume is the amount of space occupied by a 3D shape.
- Volume is measured in cubic centimetres (cm³) or cubic metres (m³).
- A cubic centimetre block occupies 1 cubic centimetre, written as 1 cm³.
- To calculate the volume of a shape, multiply its height, width, and depth.
- If the shape is made of cubic centimetre blocks, you can count the blocks to determine its volume.
Example
Example: Jacob has nine one centimetre cubes and builds a cuboid that measures 3cm by 3cm by 1cm.
He makes two further cuboids the same size as this first one and stacks the three cuboids on top of one another as shown to make a cube.
The cube measures 3cm by 3cm by 3cm.
How do we find the volume of the large cube?
There are nine cubes on each layer and there are three layers.
9 x 3 = 27
so Jacob has used 27 centimetre cubes to make the larger cube.
This can also be calculated by multiplying:
3 (the number of cubes along one edge) by
3 (the number of cubes along another edge) by
3 (the large cube is three cubes high).
If the volume of each small cube is 1cm³ then the volume of the larger cube is 27cm³.
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FAQs on What is volume? - Year 6 Mathematics
| 1. What is volume? |  |
Ans. Volume refers to the amount of space that a substance or object occupies. It is typically measured in cubic units, such as cubic centimeters or cubic meters.
| 2. How is volume calculated? | |
Ans. The volume of an object can be calculated using different formulas depending on its shape. For example, the volume of a cube is calculated by multiplying the length, width, and height of the cube.
| 3. Why is volume an important concept in mathematics and science? | |
Ans. Volume is crucial in mathematics and science as it helps in determining the capacity of containers, understanding the density of materials, and calculating the amount of a substance needed for a specific task.
| 4. How is volume different from mass? | |
Ans. Volume and mass are two different physical properties of matter. While volume refers to the amount of space occupied by an object, mass is the measure of the amount of matter in an object.
| 5. Can volume be negative? | |
Ans. No, volume cannot be negative as it represents physical space occupied by an object, which cannot have a negative value.
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Nov 24, 2024 Last updated |
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