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What is volume? | Year 5 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 5 Mathematics
| 1. What is volume in the context of mathematics? |  |
Ans. Volume in mathematics refers to the amount of space occupied by a three-dimensional object. It is typically measured in cubic units such as cubic meters or cubic centimeters.
| 2. How is volume different from area? | |
Ans. Volume measures the space a three-dimensional object takes up in terms of cubic units, while area measures the space a two-dimensional object covers in terms of square units.
| 3. What are some common formulas used to calculate volume? | |
Ans. Some common formulas used to calculate volume include the formula for the volume of a cube (V = s^3), the volume of a rectangular prism (V = l x w x h), and the volume of a cylinder (V = πr^2h).
| 4. How is volume used in real life applications? | |
Ans. Volume is used in various real-life applications such as determining the capacity of containers, calculating the amount of liquid that can be held in a reservoir, and measuring the space occupied by a building.
| 5. Can volume be negative? | |
Ans. In the context of mathematics, volume cannot be negative as it represents physical space occupied by an object, which cannot have a negative value.
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Dec 26, 2024 Last updated |
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