MA4-14MG

Uses formulas to calculate the volumes of prisms and cylinders, and converts between units of volume

Outcomes

Draw different views of prisms and solids formed from combinations of prisms (ACMMG161)
- Draw (in two dimensions) prisms, and solids formed from combinations of prisms, from different views, including top, side, front and back views
  
  Play Activities 4
  
  Examples
Choose appropriate units of measurement for volume and convert from one unit to another (ACMMG195)
- Convert between metric units of volume and capacity, using 1 cm3 = 1000 mm3, 1 L = 1000 mL = 1000 cm3, 1 m3 = 1000 L = 1 kL, 1000 kL = 1 ML
  
  Play Activities 23
  
  Examples
Develop the formulas for the volumes of rectangular and triangular prisms and of prisms in general; use formulas to solve problems involving volume (ACMMG198)
- Develop the formula for the volume of prisms by considering the number and volume of 'layers' of identical shape: Volume of a prism = base area x height leading to V = Ah
  
  Play Activities 12
  
  Examples
- Solve a variety of practical problems involving the volumes and capacities of right prisms
  
  Play Activities 10
  
  Examples
Calculate the volumes of cylinders and solve related problems (ACMMG217)
- Develop and use the formula to find the volumes of cylinders: Volume of a cylinder = pi x r squared x h where r is the length of the radius of the base and h is the perpendicular height
  
  Play Activities 4
  
  Examples