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3D Shapes, Properties, Volume & Surface Area
Learning Objectives:-
• Identify the properties of 3D shapes including cubes, cuboids, cylinders, pyramids, cones and spheres.
• Know and apply formulae to calculate volumes of cuboids and other right prisms (including cylinders)
• Calculate the surface area of spheres, pyramids, cones and composite solids.
Surface Area from Nets - Worksheet
Surface area from nets worksheet
3D shapes and nets.
Cube, Cuboid and Triangular Prism
Space for working out
Answers Provided
Volume And Surface Area Worksheet + Answers (Foundation GCSE)
A double-sided PDF worksheet with questions and answers on Volume And Surface Area. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for foundation GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Volume and Surface Area of Prisms
Cylinders and Spheres
Pyramids and Cones
Skill Questions:
Surface Area of Cuboid
Surface Area of Triangle-Based Prism
Volume of Triangle-Based Prism
Volume of L-Shaped Prism
Volume of Trapezium-Based Prism
Volume of Cylinder
Total Surface Area of Cylinder
Volume of Sphere
Surface Area of Sphere
Surface Area of Square-Based Pyramid
Volume of Square-Based Pyramid
Volume of Cone
Curved Surface Area of Cone
Total Surface Area of Cone
Mastery Questions:
Cylinder Volume Problem
Volume of Cylinder And Hemisphere
Total Surface Area of Cylinder And Hemisphere
Find Volume From Surface Area Of Cube
Total Surface Area Of Hemisphere
Find Surface Area Of Tetrahedron
Surface Area of Pyramids - Lesson and Worksheet
This is a whole lesson looking at the Surface Area of Pyramids. This is part of four lesson series that I teach on surface area and this lesson is very thorough including looking at Pythagoras. This lesson is ready to go, with no prep required. It is also great for home learning. 15-slide presentation + resources.
The lesson includes:
Starter (What could the question be)
Learning objectives
Keywords
MWB Activity (AFL on understanding of Pythagoras)
Superb Examples (with lots of custom animation)
TIP (to avoid common mistakes)
Worksheet (+ answers)
Plenary
2 Handouts (with all the formula’s for surface area and volume - excellent for student notes)
ALL LESSONS on Geometry in one MEGA BIG Bundle:
Geometry: ALL Lessons + All Resources
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Lessons are flat-packed (with limited editing) to maintain copyright protection.
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GCSE Maths Worksheet: Volume And Surface Area Of Cubes And Cuboids - Foundation Tier
Description:
A high-quality GCSE Maths worksheet focusing on exam style questions for volume and surface area of cubes and cuboids, designed for the Foundation tier.
What’s included:
Each worksheet contains:
• 9 graded questions arranged by difficulty
• A separate hints page for support
• Full worked solutions
• Clean layout for class, homework, or tutoring use
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Topics covered:
• Calculate the volume of cubes and cuboids.
• Calculate the surface area of cubes and cuboids.
• Solve multi-step and algebraic problems involving volume and surface area.
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Ideal for:
• GCSE students studying the AQA or Edexcel specification
• Targeted revision
• Stretch and challenge tasks
• Cover lessons or independent practice
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File Format:
• PDF (3 pages: Questions, Hints, Solutions)
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Pyramids (volume and surface area)
Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Finding the volume of a pyramid
Working backwards from the volume to find missing dimensions
Finding the surface area of a regular pyramid
Harder examples involving using Pythagoras’ theorem to find side lengths and compound shapes involving pyramids
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829741
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
(Formula Sheet) ‘Cool Shapes’: Volume & Surface Area of 3D shapes
Keywords. Geometry: Volume & Surface Area, formulas, (shapes: Cube, Cuboid, Triangular Prisms, Trapezoid, Cylinder, Cone, Rectangular Pyramid, Sphere and Frustum), exam revision.
I’ve created this poster/hand-out so that students can have a summary of the formulas for volumes and surface area of 3D shapes. This should allow students to learn them more easily: students could pin the two page poster on their wall at home so that they can view the formulas every day.
Please NOTE: To calculate the slant heights for some of the 3D shapes requires the use of Pythagoras. I have not included this on the poster so do remind the students of this. Thank you.
Please check out my other resource on area of shapes called: (Formula sheet) ‘Cool Shapes’: Area of 2D shapes
Reviews will be MUCH appreciated.
Hope this helps,
A_Maths.
Surface Area From Nets Scaffolded Worksheet
A carefully designed worksheet to help students develop their understanding of surface area by connecting 3D shapes to their nets.
Each question shows a 3D shape with its dimensions alongside a net that is built up gradually, one face at a time. Students are encouraged to calculate and record the area of each face as the net develops, before eventually working with the complete net.
With 6 different questions and scaffolded build-ups, the resource gives students plenty of support while helping them see how the individual faces contribute to the total surface area.
The numbers are carefully chosen to keep the calculations accessible, with integer answers throughout and no decimals. The arithmetic becomes slightly more demanding towards the later questions, providing a gradual increase in challenge.
Ideal for lower-attaining students or anyone who benefits from visual scaffolding and a clear step-by-step approach, while still providing useful practice for any class working on surface area.
A visual, structured way to build confidence with nets, area and surface area.
Pyramids - Volume and Surface Area
Lesson looking at pyramids. Starter explores nets of a square-based pyramid. Worked examples on Volume, followed by questions. Worked examples of Surface Area followed by questions. All answers included.
Volume and Surface Area of Prisms
Powerpoint going through calculating the volume of triangular prisms and cylinders, and the surface area of prisms. Animated slides to help students visualise and understand where the calculations come from.
Algebraic surface area and volume - three bracket expansions
Two 3-d shapes with lengths given algebraically. Challenge is to find surface area and volume for each shape in terms of x. Requires bracket expansions of two and three bracket expressions and significant simplification of expressions. Created for top set year 9 as classwork. Worked solutions on separate slides.
Surface area and Volume of all 3D shapes
Around 3-4 lessons worth or material. All resources required to teach surface area and volume of all the 3D shapes required for the GCSE. Starts with cuboids and prisms and moves on to composite 3D shapes. Followed by cylinders, spheres, pyramids and cones. Finishes with A* style questions.
Fun activities and interesting questions keep the lessons engaging.
An end of topic assessment is also included that can me completed and peer marked in a lesson.
This resource assumes knowledge in areas of all 2D shapes.
Frustums - Volume and Surface Area
A resource detailing the method to calculate the volume and surface area of frustums.
The lesson is structured using Rosenshine’s principles of instruction.
Worksheets and Answers are included.
A PowerPoint conversion from my SMART file is included too if you do not have access to the SMART NOTEBOOK
If you enjoy this lesson and the resources, if it saves you time, lightens your huge workload or engages your students, please leave me a REVIEW as your feedback is valuable to me as it helps me improve and create more resources that meet your needs.
Volume and Surface Area of a Pyramid
Lesson PowerPoint with examples, questions and exam-style questions
Cylinders: Surface Area and Volume KS4
A Powerpoint to explain surface area and volume of cylinders. This powerpoint has 9 slides (Including one title and one end slide). Designed for KS4 / GCSE.
Area, Surface Area & Volume
PPT aimed at GCSE foundation - covering area of rectangles, triangles, parallelograms, trapezia. Area and circumference of circles. Volume of prisms including cuboids and cylinders.
Complete with learner example booklet and short topic test on surface area & volume.
Surface Area & Volume Of 3D Solids
Interactive macro-enabled MS-Excel spreadsheet. Contents: Find the possible arrangements of unit cubes on an isometric grid. Find the surface area & volume of a cuboid by counting unit cubes. Find the surface area & volume of a cuboid using a given formula. Find the visible & total surface area of a triangular prism. Find the visible & total surface area of a trapezoidal prism. Find the visible & total surface area of an L-shaped prism. Find the cross-sectional area & volume of a triangular prism. Find the cross-sectional area & volume of a trapezoidal prism. Find the cross-sectional area & volume of an L-shaped prism. Find the surface area of a rectangular-based pyramid. Find the volume of a rectangular-based pyramid.
Surface Area and Volume
This math maze is a great way for students to practice their skills with surface area and volume of prisms, cylinders, pyramids, and cones. The solution is included.
Volume And Surface Area: Volume and Surface Area of Prisms Powerpoint (Higher GCSE)
A comprehensive powerpoint that covers the topic of Volume And Surface Area: Volume and Surface Area of Prisms. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The questions all have full working out and answers so students can identify where they have made mistakes.
The powerpoint has skill and mastery questions so students can understand the basics whilst also mastering the topic.
Suitable for higher GCSE.
The download includes the full powerpoint and you are free to adapt it to suit your needs.
Topics included:
Volume and Surface Area of Prisms
Skill Questions:
Surface Area of Cuboid
Surface Area of Triangle-Based Prism
Volume of L-Shaped Prism
Volume of Trapezium-Based Prism
Volume of Triangle-Based Prism
Mastery Questions:
Find Volume From Surface Area Of Cube
Find Surface Area Of Tetrahedron
Volume of Cubes and Cuboids - Full lesson
Volume of Cubes and Cuboids - Full lesson
The lesson covers:
Finding the volume of a cuboid
Finding the volume of a cube
Finding the a missing side length of a cuboid given its volume and two sides.
Finding the a missing side length of a cube given its volume.
Contains I do - We Do - You Do Cycles with AFL opportunities via MWB and RAG.
This lesson is a comprehensive look into the topic.
The Powerpoint is 100% animated and does not require the teacher to write, allowing them to circulate with a clicker/ tablet and monitor students.
The background is Dyslexia friendly.
Please provide feedback if you found this useful or find a mistake.










