#MeasurementAndSpace #Core
>[!info]- [Volume | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/fa81d78b9c)
>- MA4-VOL-C-01 applies knowledge of volume and capacity to solve problems involving right prisms and cylinders
## 📖 Prior Knowledge
| Content | Prior knowledge | Used for |
| ----------------------------------------- | ----------------------------------- | ------------------------------------------------------------ |
| [[Three-dimensional Spatial Structure A]] | - sketching 3D objects in 2D | - sketching different views of prisms and prism combinations |
| [[Three-dimensional Spatial Structure B]] | - volume as multiplying base layers | - establishing volume formula for prisms |
| [[Indices]] | - cubing and cube roots | - volume calculations |
| [[Equations]] | - using formulas | - volume of a prism |
| [[Area]] | - area of plane shapes | - calculating base area for volume |
## [[Describe the different views of prisms and solids that have been formed from prism combinations.pdf]]
- Represent prisms from different views in 2 dimensions, including top, side, front and back views
- Describe and illustrate solids formed from prism combinations from different views in 2 dimensions, including top, side, front and back views
- Identify and illustrate the cross-sections of different prisms
- Examine the idea that prisms have a uniform cross-section that is equal to the base area
- Determine if a particular solid has a uniform cross-section
## [[Develop and apply the formula to find the volume of a prism to solve problems.pdf]]
- Develop the formula for the volume of a prism:Â $V=Base\ area \times height$, leading to $V=Ah$Â
- Apply the formula for the volume of a prism to prisms with uniform cross-sections to solve problems
## [[Develop the formula for finding the volume of a cylinder and apply the formula to solve problems.pdf]]
- Develop and apply the formula to solve problems involving the volume of cylinders: $V=\pi r^2 h$, where $r$ is the length of the radius of the base and ℎ is the perpendicular height
## [[Choose appropriate units of measurement for volume and capacity and convert between units.pdf]]
- Recognise that 1000 L is equal to 1 kilolitre (kL) and use the abbreviation
- Recognise that 1000 kL is equal to 1 megalitre (ML) and use the abbreviation
- Choose an appropriate unit to measure the volume or capacity of different objects and justify the choice
- Convert between metric units of volume and capacity ($1\ \text{cm}^3\ =1000\ \text{mm}^3$, $1\ \text{cm}^3\ =1\ \text{mL}$, $1\ \text{m}^3\ =1000\ \text{L}=1\ \text{kL}$, $1\ 000\ \text{kL}\ =1\ \text{ML}$)
- Solve practical problems involving the volume and capacity of right prisms and cylinders