4.4 Common Solids

• Nets of cubes, cuboids, cylinders, pyramids and cones
• Surface area of the solids
• Models of hollow and compact solids

• identify common solids from the environment
• sketch nets of cubes, cuboids, cylinders, pyramids and cones in different situations
• work out the surface area of the solids from nets of solids in different situations
• determine the distance between two points on the surface of a solid in different situations
• make models of hollow and compact solids for skills development
• use drawing materials to draw models and nets of solids in different situations
• promote the use of common solids in real-life situations

“What are common solids?”

“How do we use common solids in real life?”

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1. Common solids around us
   40 min · 1 practice tasks · quiz
   Naming the five common solids and finding real examples of each in the immediate environment.
2. Faces, edges and vertices
   40 min · 1 practice tasks · quiz
   The three parts every flat-faced solid has, how to count them, and the pattern that connects them.
3. The net of a cube
   40 min · 1 practice tasks · quiz
   Opening a cube out flat, recognising which arrangements fold back up, and sketching the net.
4. The net of a cuboid
   40 min · 1 practice tasks · quiz
   Opening a box with three different rectangle sizes, and getting all six measurements right.
5. The net of a cylinder
   40 min · 1 practice tasks · quiz
   Why a curved surface unrolls into a rectangle, and how long that rectangle has to be.
6. The net of a pyramid
   40 min · 1 practice tasks · quiz
   A base with triangles folded out from every side, and the difference between slant height and height.
7. The net of a cone
   40 min · 1 practice tasks · quiz
   A circle for the base and a sector for the curved surface, and why the sector is never a whole circle.
8. Surface area of a cube
   40 min · 1 practice tasks · quiz
   Adding up the faces from the net, and working backwards from a given surface area.
9. Surface area of a cuboid
   40 min · 1 practice tasks · quiz
   Three different rectangles, each counted twice, and what to do when a face is missing.
10. Surface area of a cylinder
    40 min · 1 practice tasks · quiz
    The rectangle plus the two circles, with the open-tin case worked through as well.
11. Surface area of a pyramid
    40 min · 1 practice tasks · quiz
    The base plus four identical triangles, using the slant height and not the height.
12. Surface area of a cone
    40 min · 1 practice tasks · quiz
    The sector plus the base circle, with the open funnel case worked through.
13. Distance between two points on a solid
    40 min · 1 practice tasks · quiz
    Opening the solid flat so that a path over its surface becomes a straight line you can measure.
14. Making models of hollow solids
    40 min · 1 practice tasks · quiz
    Turning a drawn net into a finished container, with tabs, scoring and folding.
15. Hollow and compact solids
    40 min · 1 practice tasks · quiz
    The difference between a container and a solid block, and modelling both with clay.
16. Common solids in real life
    40 min · 1 practice tasks · quiz
    Why each shape is chosen for the job it does, and how to argue for the right shape.