Curriculum placement
Grade 7. This describes the skill, not a learner estimate.
Area and volume of composite figures
Find area surface area and volume of compound figures
Problem types
- Area of composite figures
- Volume of a composite prism
- Surface area of a composite prism
- Area of a ring around a circle
- Show the work: area of a ring around a circle
Builds on
- Volume with fractional edge lengths
- Surface area of prisms and pyramids
- Composing shapes · Earlier idea
Putting simple shapes together to build a bigger one is reversed when a composite figure is split into simple shapes to find its area.
Leads to
- Modeling with geometry
- Perimeter and area from coordinates · See it applied
A composite shape on a grid has its area found by splitting it into pieces whose sides are read from coordinates.
- Volumes of cylinders, cones, pyramids, spheres · See it applied
The volume of a composite solid adds the volumes of simpler solids and is used to model real objects.
Related skills
- Cross-sections of solids · Shared foundations
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