Surface Areas and Volumes
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Surface Area of Joined Solids
Part of: Surface Area of Joined Solids
For a solid made by joining basic solids, count only the exposed surfaces. Faces where pieces are joined are internal and are not part of the outside area.
Why it matters. Composite shapes appear in containers, toys and structures, where area and capacity answer different questions.
Try it in two minutes
- Split the object into familiar solids.
- Mark which faces are exposed and which are joined.
- Add or subtract areas or volumes as the model requires.
Try at home. Sketch a simple object made from two blocks and mark the faces that would be hidden when they are joined.
Volumes of Combined Solids
Part of: Volumes of Combined Solids
A combined object's volume can be found by adding volumes of joined non-overlapping parts or subtracting removed parts, using consistent dimensions.
Why it matters. Composite shapes appear in containers, toys and structures, where area and capacity answer different questions.
Try it in two minutes
- Split the object into familiar solids.
- Mark which faces are exposed and which are joined.
- Add or subtract areas or volumes as the model requires.
Try at home. Sketch a simple object made from two blocks and mark the faces that would be hidden when they are joined.
Choosing Measures for Composite Objects
Part of: Choosing Measures for Composite Objects
Surface area measures exposed covering, while volume measures occupied space or capacity. Correctly identify the requested measure and relevant visible or internal parts.
Why it matters. Composite shapes appear in containers, toys and structures, where area and capacity answer different questions.
Try it in two minutes
- Split the object into familiar solids.
- Mark which faces are exposed and which are joined.
- Add or subtract areas or volumes as the model requires.
Try at home. Sketch a simple object made from two blocks and mark the faces that would be hidden when they are joined.
What your child will practise
- Choosing Measures for Composite Objects: Candy Puzzle (Clue Puzzle)
- Choosing Measures for Composite Objects: Number Sort (Sort It Out)
- Choosing Measures for Composite Objects: Space Quick Fire (Quick Fire)
- Surface Area of Joined Solids: Ocean Quick Fire (Quick Fire)
- Volumes of Combined Solids: Mission Control Quest (Collect the Answer)
- Quiz: Choosing Measures for Composite Objects (8 questions)
- Quiz: Surface Area of Joined Solids (8 questions)
- Quiz: Volumes of Combined Solids (8 questions)