Volume of composite solids

12 questions

1. A shape created using two or more basic shapes is called a ___ shape.
2. This composite solid is constructed from two cuboids. All lengths given are in centimetres. Calculate the total surface area of the solid.
3. This composite solid is constructed from two congruent cuboids. All lengths given are in centimetres. The total surface area of the solid is ___ cm².
4. 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.
5. 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.
6. The composite solid is constructed with a cone and a hemisphere. The surface area, in terms of 𝜋, is ___𝜋 cm².
7. The amount of space occupied by a closed 3D shape is called the ___ of the shape.
8. 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?
9. This composite solid is constructed from two cuboids. All lengths given are in metres. The total volume of the solid is ___ m³.
10. 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.
11. 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).
12. This composite solid is constructed with a cone and a hemisphere. The volume of the solid, in terms of 𝜋, is ___𝜋 cm³.

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