3D shapes- Volume

3D shapes- Volume

Principles of Volume in 3D Shapes

• Understand that volume is a measure of the amount of space that a 3D object occupies.
• Recognise that the units of volume are always cubic units, such as cubic centimetres (cm³) or cubic metres (m³).

Volume of Prisms

• Know that a prism is a 3D shape with two identical ends and all flat sides.
• Learn the formula for the volume of a prism: V = A x h, where A is the area of the base, and h is the height.
• Apply this formula to all prisms, including cuboids and cylinders.

Volume of Pyramids and Cones

• Recognise that a pyramid has one base and triangular faces that meet at a point, while a cone has one circular base and a curved surface that meets at a point.
• Understand that both pyramids and cones have a volume of one-third the base area times height (V = 1/3A x h).
• Differentiate between a pyramid and a prism, both geometrically and in terms of their volume formulas.

Volume of a Sphere

• Identify a sphere as a perfectly symmetrical 3D object, where all points on the surface are equidistant from the centre.
• Learn the formula for the volume of a sphere (V = 4/3πr³), where r is the radius of the sphere.

Practical Applications

• Understand how to calculate the volume of complex shapes by breaking them down into simpler, component shapes.
• Apply knowledge of volumes in real-world contexts, e.g. finding out how much liquid a cylindrical tank can hold or the total volume of a building.