Volume B

measurementandspace path stn adv

Volume B (Path) | NSW Curriculum Website

• MA5-VOL-P-01 applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids

📖 Prior Knowledge

Content	Prerequisite relationships
Area	- Find the area of a circle → Find the volume of pyramids and cones
Volume	- Find the volume of a prism → Find the volume of pyramids and cones - Find the volume of a cylinder → Find the volume of a sphere
Volume A	- Find volumes of composite solids → Solve volume problems for composite solids
Equations B	- Solve cubic equations of the form $a{x}^3=k$ → Find the volume of a sphere

Solve problems involving volumes.pdf

• Find the volume of right pyramids and right cones by using an appropriate formula: volume of pyramid or cone $V=\frac{1}{3}Ah$, where $A$ is the base area and ℎ is the perpendicular height
• Find the volume of spheres by using an appropriate formula: volume of sphere $V=\frac{4}{3}\pi r^3$, where $r$ is the length of the radius
• Apply knowledge of right pyramids, right cones and hemispheres to solve problems involving composite solids
• Solve practical problems related to the volumes and capacities of solids including right pyramids, right cones and spheres