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 nets of solids

Maths

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)

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

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.

Checking and securing understanding of surface area of cuboids

Checking and securing understanding of surface area of other prisms

A cylinder is a 3D shape with a base that is a circle and a parallel opposite face that is identical. A cross-section of a cylinder made parallel to the base will be congruent to the base.

Checking and securing understanding of volume of a cylinder

Checking and securing understanding of surface area of a cylinder

A pyramid is a 3D shape that has a polygonal base and triangular faces that meet at an apex.

The apex is the point (vertex) which is the greatest perpendicular distance from the base.

When the apex lies directly above the centre of the base, then it is called a right pyramid.

An oblique pyramid is when the apex is not directly above the centre of the base.

The surface area of a pyramid

The volume of a pyramid

A sphere is a 3D shape, where every point on its surface is equidistant from the centre.

The surface area of a sphere

The volume of a sphere

A circular cone is a 3D shape that has a circular base and one curved surface that narrows from the base to a fixed point called the apex/vertex.

A line drawn through the apex and centre of the base of a right circular cone will be perpendicular to the base.

The surface area of a cone

The volume of a cone

A solid is a shape that has three dimensions (e.g. width, height and depth).

A compound shape is a shape created using two or more basic shapes. A composite shape is an alternative for compound shape.

Surface area of composite solids

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

Volume of composite solids

A frustum is the 3D shape made from a cone by making a cut parallel to its circular base and removing the resultant smaller cone.

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

Choose a lesson (18)

These lessons will be removed by end of Summer Term 2025.