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Surface area of composite solids

The starter and exit quiz of the lesson “Surface area of composite solids”, from the unit “2D and 3D shape: surface area and volume (pyramids, spheres and cones)” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. A circular cone is a 3D shape that has a circular base and one curved surface that narrows from the base to a fixed point called the ___.
  2. This paper cup is cone-shaped. How many full paper cups of water can be poured into this cylindrical coffee mug?
  3. The cone and cylinder share the same radius and vertical height. The volume of the cylinder is 1380 cm³. The volume of the cone is ___ cm³.
  4. Which calculation gives the volume of this cone?
  5. The volume of this cone is ___ cm³ to the nearest cubic centimetre.
  6. The volume of this cone is 768𝜋 cm³. The total surface area of the cone, in terms of 𝜋, is ___𝜋 cm²
  7. A __________ shape is a shape created using two or more basic shapes.
  8. This composite solid is constructed from two cuboids. All lengths given are in centimetres. Calculate the total surface area of the solid.
  9. This composite solid is constructed from two congruent cuboids. All lengths given are in centimetres. The total surface area of the solid is ___ cm².
  10. The composite solid is constructed by placing a hemisphere with diameter 10 cm on top of a cuboid. Find the surface area of the solid.
  11. The composite solid is constructed with a cylinder and a hemisphere. Each have a diameter of 10 cm. Find the surface area of the solid.
  12. The composite solid is constructed with a cone and a hemisphere. The surface area, in terms of 𝜋, is ___𝜋 cm².

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Surface area of composite solids · Examplary