The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

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

Checking and securing understanding of surface area of cuboids

Maths

Checking and securing understanding of nets of solids

Checking and securing understanding of volume of prisms

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)

The surface area is the __________ area of all the surfaces of a closed 3D shape.

(7 × 7) + (7 × 7) + (7 × 7) + (7 × 7) + (7 × 7) + (7 × 7)

Here is a net of a cube. Which calculations correctly give the surface area of the cube?

Here is a net of a cuboid. What is the surface area of the cuboid?

The diagram shows the plan view and front and side elevations of a cuboid. The surface area of the cuboid is {{ }}m².

The diagram shows an isometric drawing of a cuboid. The surface area of the cuboid is {{ }} m².

Purple cuboid: width 1 cm, height 4 cm and length 8 cm

Blue cuboid: width 2 cm, height 5 cm and length 5 cm

Red cuboid: width 3 cm, height 4 cm and length 5 cm

Yellow cuboid: width 4 cm, height 4 cm and length 4 cm

Starting with the cuboid with the smallest surface area, put these cuboids in order of surface area size.

A prism is a __________ 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.

A set of cuboids each have a volume of 240 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 height of the prism is {{ }} cm.

Starter Quiz

A prism is a __________ 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.