1
Solid Recognition
Break a combined solid into two familiar solids
Chapter route
Surface Areas and Volumes
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2
Surface Area Concepts
Decide which surfaces are counted in a real object
3
Volume Concepts
Calculate total volume by summing component volumes
4
Volume Concepts
Calculate remaining volume after a solid is removed
5
Cylinder Combinations
Find surface area and volume for objects involving cylinders and cuboids
6
Cone Combinations
Find exposed area and volume in cone-cylinder composite shapes
7
Hemisphere Combinations
Model domes, bowls and tanks using hemisphere and cylinder
8
Sphere Combinations
Apply sphere and hemisphere formulas in composite objects
9
Cube and Cuboid
Use rectangular solids in combined surface area and volume problems
10
Conversion
Use cm³, m³, litres and millilitres accurately
11
Real-life Applications
Find paint, cloth, metal sheet, water capacity and material quantity
12
Visualisation
Exclude internal contact surfaces from exposed surface area
13
Formula Selection
Use radius, diameter, height and slant height appropriately
14
Error Analysis
Detect using area formulas for volume or counting hidden surfaces
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