Prior Content: 2D Area & Perimeter, Upper & Lower Bounds, Circles & Sectors, Pythagoras, Basic Trigonometry
Possible Next Steps: Volume & Surface Area
Contents
- 1.1 Cuboids: Nets & Surface Area
- 1.2 Cuboids: Volume
- 1.3 Cuboids: Compound Shapes
- 2.1 Volumes of Other Prisms (Including Cylinders)
- 2.2 Nets & Surface Area of Other Prisms (Including Cylinders)
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Cuboids: Nets & Surface Area
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Surface Area of a Cuboid
Online Platforms (with Videos & Exercises)
- Khan Academy
- Nets & surface area: Videos & practice
Activities & Resources
- mathigon is this a net of a cube? Amazing Interactive Resource
- Maths 4 Everyone Exploding Polyhedra Interactive resource
- Pixi Maths
- Volume and Surface Area of Cubes and Cuboids ppt (Slides 12 Onwards)
- Andy Lutwyche
- Don Steward
- Go Teach Maths
- Mr Thompson Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Surface Area: Cube/ Cuboids Practice Questions & Solutions
- Surface Area: Cube/ Cuboids Worksheet & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Surface Area of a cuboid Excel File
- Access Maths
- Cuboid Surface Area: Christmas Wrapping Problem (with Answers) | Surface Area (Fluency & Reasoning)
- 1st Class Maths
- Mr Morley Maths
- Surface Area of Cuboids: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K315: Find the Surface Area of a Cuboid.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 143d: Draw an accurate net of a cuboid. (not yet active)
- 232a: Calculate the surface area of a cuboid.
- 232b: Calculate the surface area of a cube.
- 232c: Calculate the surface area of a solid by counting congruent square faces.
- 232d: Determine the side length of a cube given its surface area.
- 232e: Determine a missing dimension of a cuboid given its surface area and two other dimensions.
- 232f: Determine the surface area of a cube given its volume.
- 232g: Determine the volume of a cube given its surface area.
- 232k: Form an expression for the surface area of a cuboid, involving simple variable side lengths only.
- 418j: Form (and solve) a quadratic equation or expression using the dimensions of a cuboid where the surface area is known.
- 143: Exam Practice: Nets of 3D shapes
- 232: Exam Practice: Surface area of a cuboid and prisms
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.2 Cuboids: Volume
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Volume of a Cuboid & Cube
Online Platforms (with Videos & Exercises)
- Khan Academy
- Volume of cuboids: Videos & practice
Activities & Resources
- Pixi Maths
- Volume and Surface Area of Cubes and Cuboids ppt (Slides 1-11)
- Andy Lutwyche
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- GeoGebra
- SMILE
- Basic cuboid volume✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
Worksheets
- Dr Austin Maths
- Practice Grid (Word | PDF✦ | Answers✦)
- Challenge Activity (Word | PDF✦ | Answers✦)
- Cubes and Cuboids Match-Up (Word | PDF✦ | Answers✦)
- Surface Area of Cuboids Practice Strips (Word | PDF | Answers)
- Surface Area of Cuboids Fill in the Blanks (Word | PDF | Answers)
- Surface Area of Cuboids Give an Example (Word | PDF | Answers)
- Corbettmaths
- Volume of a Cube & Cuboid Practice Questions & Solutions
- Volume of a Cube & Cuboid Worksheet & Solutions
- Maths 4 Everyone
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Volume of a cuboid Excel File
- CIMT MEP (online self-checking)
- Access Maths
- Starting Points Maths
- Volume of a Cuboid (by Segar Rogers) · PDF
- Mr Morley Maths
- Volume of a Cuboid: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@missnmaths)
- Volume (@missnmaths, pptx)
Dr Frost Resources
Dr Frost Video
K310: Find the Volume of a Cuboid by Counting Cubes.
K311: Find the Volume of a Cuboid.
K312: Find a Missing Dimension of a Cuboid Given its Volume.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 144a: Determine the volume of a cuboid by counting cubes.
- 145a: Calculate the volume of a cuboid.
- 145b: Calculate the volume of a cube.
- 145c: Calculate the volume of a cuboid from its net.
- 230a: Calculate an unknown dimension of a cuboid given its volume.
- 230b: Calculate an unknown dimension of a cube given its volume.
- 230c: Solve problems involving the depth of a filled container.
- 230d: Solve problems involving the capacity of one cuboid in terms of the volume of another solid.
- 230e: Solve problems involving fitting copies of a smaller cuboid into a larger one. (not yet active)
- 230f: Solve problems involving cuboids with equal volume.
- 230g: Form an expression for the volume of a cuboid or cube, involving simple variable side lengths only.
- 418i: Form (and solve) a quadratic equation or expression using the dimensions of a cuboid where the volume is known or where two volumes are equal.
- 418o: Form (and solve) a quadratic equation or expression for the volume of a cuboid given its net.
- 144: Exam Practice: Volume of rectilinear prisms using unit length blocks
- 145: Exam Practice: Volume of a cube or cuboid
- 230: Exam Practice: Problem solving involving volume of a cuboid
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.3 Cuboids: Compound Shapes
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Surface Area of an L-Shaped Prism
Corbett Maths Volume of an L-Shape Prism
Online Platforms (with Videos & Exercises)
- Khan Academy
- Volume of compound cuboids: Videos & practice
Activities & Resources
- Pixi Maths
- Volume and Surface Area of Prisms ppt (Slides 1- 10)
- Prisms Thoughts and Crosses
- Don Steward
- Goal Free Problems
Worksheets
- Corbettmaths
- Surface Area of an L-Shaped Prism Practice Questions & Solutions
- Surface Area: L-Shaped Prisms Worksheet & Solutions
- Volume: L-Shape Prims Practice Questions & Solutions
- Volume of an L-Shape Prism Worksheet & Solutions
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 144b: Determine the volume of prism with rectilinear cross-section by counting cubes.
- 231a: Determine the volume of a prism by counting cubes in the cross-section.
- 231f: Determine the volume of a composite solid made from other prisms joined together.
- 231g: Determine the volume of a solid involving one prism cut out of another.
- 144: Exam Practice: Volume of rectilinear prisms using unit length blocks
- 231: Exam Practice: Volume of a prism
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.1 Volumes of Other Prisms (Including Cylinders)
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Volume of a Prism
Corbett Maths Volume of a Cylinder
Online Platforms (with Videos & Exercises)
- Khan Academy
- Volume & surface area of prisms & cylinders: Videos & practice
Activities & Resources
- Pixi Maths
- Volume and Surface Area of Prisms ppt (Slides 1- 10)
- Prisms Thoughts and Crosses
- Volume and Surface Area of Cylinders ppt (Slides 1-7)
- Andy Lutwyche
- Don Steward
- The Chalkface
- Volume of a Hula Hoop: PowerPoint
- Transum
- Goal Free Problems
- Go Teach Maths
- BossMaths
- CP3 Maths (cparkinson3)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Volume of a Prism Practice Questions & Solutions
- Volume of a Prism Worksheet & Solutions
- Volume of a Cylinder Practice Questions & Solutions
- Volume of a Cylinder Worksheet & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Volume of Cuboids and Prisms (KS3/Foundation) Excel File
- CIMT MEP (online self-checking)
- Miss Konstantine (MathsHKO)
- Maths Genie
- Volume of a Prism: Booklet · Worksheet · Solutions · Lesson · Topic page
- Cylinders: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Access Maths
- MME
- Starting Points Maths
- Mr Morley Maths
- Volume of Prisms and Cylinders: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K313: Find the Volume of a Prism.
K316: Find the Volume of a Cylinder From its Radius and Height.
K317: Find the Volume of a Cylinder From its Diameter and Height.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 231b: Calculate the volume of a prism, given the area of the cross-section.
- 231c: Calculate the volume of a prism, where the area of the cross-section must be calculated.
- 231d: Calculate the volume of a prism where the cross section is a compound shape.
- 231e: Determine an unknown dimension in a triangular prism given the volume.
- 231h: Form an expression for the volume of a prism, involving simple variable side lengths only.
- 233a: Calculate the volume of a cylinder from its radius and height.
- 233b: Calculate the volume of a cylinder from its diameter and height.
- 233c: Calculate the volume of a semi-cylinder from its diameter or radius.
- 233d: Determine an unknown dimension of a cylinder given its volume.
- 233e: Determine an unknown dimension of a semi-cylinder given its volume.
- 233f: Determine the volume of a composite solid, one of them cylindrical.
- 233g: Determine the volume of a solid involving one solid cut out of another, one of them cylindrical.
- 233h: Determine the volume of a composite solid, one of them semi-cylindrical.
- 233i: Solve problems involving cylinders or a cylinder and cuboid with equal volume.
- 233j: Determine an expression for a volume, involving simple variable side lengths only.
- 418k: Form (and solve) a quadratic equation or expression using the dimensions of a prism where the volume is known.
- 231: Exam Practice: Volume of a prism
- 233: Exam Practice: Volume of a cylinder
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.2 Nets & Surface Area of Other Prisms (Including Cylinders)
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Surface Area of Prisms
Corbett Maths Surface Area of a Cylinder
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Volume and Surface Area of Prisms ppt (Slides 11 Onwards)
- Volume and Surface Area of Cylinders ppt (Slides 8 Onwards)
- Go Teach Maths
- CP3 Maths (cparkinson3)
- NCETM
- NCETM Key Idea: Surface area of 3D shapes (PowerPoint)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Surface Area of a Cylinder Practice Questions & Solutions
- Surface Areas: Cylinders Worksheet & Solutions
- Pixi Maths
- Self Marking Sheets by Phil Rhodes
- Surface Area of a Triangular Prism Excel File
- Miss Konstantine (MathsHKO)
- Access Maths
- Surface Area of Prisms & Cylinders: Prism Worksheet | Cylinder Worksheet
- 1st Class Maths
- Mr Morley Maths
- Surface Area of Prisms and Cylinders: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K314: Find the Surface Area of a Prism.
K318: Find the Surface Area of a Cylinder From its Radius and Height.
K319: Find the Surface Area of a Cylinder From its Diameter and Height.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 143e: Draw an accurate net of a prism. (not yet active)
- 232h: Calculate the surface area of a prism.
- 232i: Determine an unknown dimension of a prism given its surface area and other dimensions.
- 232j: Calculate costs using a surface area.
- 234a: Calculate the surface area of a cylinder from its radius and height.
- 234b: Calculate the surface area of a cylinder from its diameter and height.
- 234c: Calculate the surface area of a semi-cylinder from its diameter or radius.
- 234d: Determine the height of a cylinder given its surface area.
- 234e: Solve problems involving coating or covering a cylinder.
- 234f: Determine the surface area of a cylinder given the volume and a length.
- 234g: Determine the surface area of a composite solid, involving a cylinder.
- 234h: Determine the surface area of a composite solid, involving a semi-cylinder.
- 418l: Form (and solve) a quadratic equation or expression to determine the radius or diameter of a cylinder given its surface area.
- 418m: Form (and solve) a quadratic equation or expression to determine an unknown dimension of a semi-cylinder given its surface area.
- 143: Exam Practice: Nets of 3D shapes
- 232: Exam Practice: Surface area of a cuboid and prisms
- 234: Exam Practice: Surface area of a cylinder
- 418: Exam Practice: Forming and solving quadratic or non-linear expressions or equations from a given context (excluding probability problems)
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download Prisms PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Activities
- Andy Lutwyche
- NRICH (student problems)
- Don Steward
- The Chalkface
- Transum
- Go Teach Maths
Worksheets
- MathedUp
- Volume & Surface Area: Worksheet · Practice · Quiz · Question Gallery
- Physics & Maths Tutor
- Access Maths
- Problem Pentagons: Functional Surface Area | Functional Volume
External
- NCETM
- NCETM Checkpoints: Perimeter, area and volume (diagnostic tasks)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.