Volume is the amount of space occupied by a closed 3D shape.

A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical. The corresponding edges of the two polygons are joined by parallelograms.

Checking and securing understanding of volume of prisms

Maths

Checking and securing understanding of nets of solids

Checking and securing understanding of surface area of cuboids

Checking and securing understanding of surface area of other prisms

Checking and securing understanding of volume of a cylinder

Checking and securing understanding of surface area of a cylinder

The surface area of a pyramid

The volume of a pyramid

The surface area of a sphere

The volume of a sphere

The surface area of a cone

The volume of a cone

Surface area of composite solids

Volume of composite solids

Volume of a frustum of a cone

Surface area of a frustum of a cone

Forming equations involving complex shape calculations

Advanced problem solving with further surface area and volume

In this unit, pupils have increased their knowledge of volume which is used in the compound measures unit as the formula for density involves volume. 

In the prior unit, pupils built upon their learning of the area of different shapes. In this unit, pupils will continue to further develop their understanding of shapes by considering surface area and volume of pyramids, spheres and cones.

In this unit, pupils will further develop their understanding of shapes by considering the surface area and volume of pyramids, spheres and cones.

2D and 3D shape: surface area and volume (pyramids, spheres and cones)

A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical. The corresponding edges of the two polygons are joined by __________.

A set of cuboids each have a volume of 120 cm³. Match each base of a cuboid to the correct height.

The volume of this triangular prism is {{}} cm³.

The volume of this prism is 280 cm³. The length of the side $$w$$ is {{ }} cm.

The net of a 3D object is a 2D representation of its {{}} that can be folded up into the 3D object. 

A solid is created from irregular quadrilaterals and regular hexagons only.  Which of these nets could be for the solid?

Which of these diagrams show a net for a tetrahedron?

Which of these diagrams show a net of a cube?

Which of the following rectangles can be used to create the net of a cuboid?

Starter Quiz

The net of a 3D object is a 2D representation of its that can be folded up into the 3D object.