Starter quiz
- A shape created using two or more basic shapes is called a ______ shape.
- 'composite' ✓
- This composite solid is constructed from two cuboids. All lengths given are in centimetres. Calculate the total surface area of the solid.
- 456 cm²
- 912 cm²
- 952 cm² ✓
- 982 cm²
-
- This composite solid is constructed from two congruent cuboids. All lengths given are in centimetres. The total surface area of the solid is ______ cm².
- '168' ✓
- The composite solid is constructed by placing a hemisphere with diameter 8 cm on top of a cuboid. Find the surface area of the solid.
- 206 cm²
- 306 cm² ✓
- 357 cm²
- 407 cm²
-
- The composite solid is constructed with a cylinder and a hemisphere. Each have a diameter of 12 cm. Find the surface area of the solid.
- 792 cm²
- 829 cm²
- 867cm²
- 905 cm² ✓
- 1018 cm²
-
- The composite solid is constructed with a cone and a hemisphere. The surface area, in terms of 𝜋, is ______𝜋 cm².
- '72' ✓
Exit quiz
- The amount of space occupied by a closed 3D shape is called the ______ of the shape.
- 'volume' ✓
- The diagram shows a composite solid constructed from two congruent cuboids. All lengths given are in centimetres. Which of these calculations give the total volume of the solid?
- 4 × 8 × 2 + 4 × 2 × 4 ✓
- (2 × 6 + 6 × 2) × 4 ✓
- 4 × 2 × 8 + 2 × 4 × 8
- 6 × 4 × 8
- 2 × 6 × 4 × 2 ✓
-
- This composite solid is constructed from two cuboids. All lengths given are in metres. The total volume of the solid is ______ m³.
- '360' ✓
- This composite solid is constructed by placing a hemisphere with diameter 12 cm on top of a cuboid. Find the volume of the solid. Give your answer to the nearest cubic centimetre.
- 631 cm³
- 932 cm³ ✓
- 1385 cm³
- 4099 cm³
-
- This composite solid is constructed with a cylinder and a hemisphere. Each have a diameter of 8 cm. The volume of the solid is ______cm³ (correct to 3 significant figures).
- '737' ✓
- This composite solid is constructed with a cone and a hemisphere. The volume of the solid, in terms of 𝜋, is ______𝜋 cm³.
- '891' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A composite solid can be decomposed to make the volume easier to calculate.
- Completing the solid may be a more useful method.
- Decomposing and rearranging parts of the solid may be beneficial.
Common misconception
Pupils may only using given measures in their calculations, even when these are not the lengths required for substitution into a volume formula.
Encourage pupils to annotate diagrams to show how the are breaking down a compound/composite shape. Pupils should label the diagram with any new lengths needed. They may need to use Pythagoras or trigonometry to find these new lengths.
Keywords
Volume - The volume is the amount of space occupied by a closed 3D shape.
Compound shape - A compound shape is a shape created using two or more basic shapes. A composite shape is an alternative for compound shape.
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