Year 9 · Maths

Use 3D Shape Knowledge To Solve Problems

Year 9 learners practise volume and surface area of spheres cones and prisms.

The activities include Calculate the Surface Area of a Sphere, Calculate the Volume of a Cone, Calculate the Volume of a Cone, and related practice. The checked support below includes video, worksheet, teaching. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

Activities covered

Calculate the Surface Area of a Sphere
Calculate the Volume of a Cone
Calculate the Volume of a Cone
Calculate the Volume of a Sphere
Calculate the Volumes of Prisms
Find the Radius of a Sphere
Find the Surface Area of a Cylinder
Practise Calculating the Volume of a Sphere

Checked learning resources

Volume of prisms

Oak National Academy · Video · Opens on the provider website

I can use the constant cross-sectional area property of prisms to determine their volume. This KS3 maths video lesson directly teaches the concepts and calculation method required by "Calculate the Volumes of Prisms".
Surface area of cylinders

Oak National Academy · Video · Opens on the provider website

I can find the surface area of cylinders. This KS3 maths video lesson directly teaches the concepts and calculation method required by "Find the Surface Area of a Cylinder".
Perimeter, Area, Volume

BBC Bitesize · Worksheet · Opens on the provider website

BBC KS3 maths teaching, worked examples and practice checks for Use 3D Shape Knowledge To Solve Problems, including calculation. This was selected against the complete context of "Calculate the Surface Area of a Sphere"
Perimeter, area and volume: lesson sequence

Oak National Academy · Teaching · Opens on the provider website

This KS3 Oak unit provides sequenced teaching and worked examples on Perimeter, area and volume.
KS3/GCSE Maths: Surface Area of Spheres and Cones

YouTube — 162maths · Video · Opens on the provider website

This video goes through how to find the surface area of spheres and cones (inc bases) before working through simple and reverse ... · 162maths · 29 minute video
Volume of a Cone - Corbettmaths

YouTube — corbettmaths · Video · Opens on the provider website

Corbettmaths - A video on how to find the volume of a cone. · corbettmaths · 3 minute video Caption evidence: [Music] in this video we're going to look at how to calculate the volume of a cone so the volume of a cone is
Volume of a Sphere - Corbettmaths

YouTube — corbettmaths · Video · Opens on the provider website

This video explains how to find the volume of a sphere. It goes through a typical calculator and a typical non-calculator question. · corbettmaths · 7 minute video
How To Calculate The Radius of a Sphere Given The Volume

YouTube — The Organic Chemistry Tutor · Video · Opens on the provider website

Worked examples rearrange the sphere-volume formula to calculate the radius from a given volume.