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Using the scale factor for enlarging a volume

The starter and exit quiz of the lesson “Using the scale factor for enlarging a volume”, from the unit “Similarity” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Volume is the amount of ___ occupied by a closed 3D shape.
  2. A cuboid of dimensions 2 cm by 3 cm by 10 cm is enlarged by a scale factor of 2. Work out the volume of the enlarged cuboid.
  3. Shape A is a 3D shape. Shape A is enlarged by scale factor 5 to give shape B. What is the volume scale factor from A to B?
  4. Match each linear scale factor to correct the volume scale factor.
  5. Prism S and prism T are similar. What is the scale factor of enlargement from prism S to prism T?
  6. Prism A and prism B are similar. The end face of prism A has an area of 20 cm². The volume of prism B is ___ cm³.
  7. A scale factor is the multiplier between ___ shapes that describes how large one shape is compared to the other.
  8. The multiplier between corresponding edge lengths on a pair of similar objects is k. Select the correct statements.
  9. Shapes X and Y are similar to each other. The volume of shape Y is 729 times larger than the volume of shape X. The linear scale factor from X to Y is ___.
  10. Shapes X and Y are similar. The volume of shape Y is 729 times larger than the volume of shape X. The area scale factor from X to Y is ___.
  11. Pyramid A and pyramid B are similar. The surface area of pyramid A is 50 cm² and its volume is 120 cm³. The surface area of pyramid B is 200 cm². Calculate the volume of pyramid B.
  12. Cuboid A and cuboid B are similar. The volume of cuboid B is 405 cm³. The surface area of B is ___ cm².

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Using the scale factor for enlarging a volume · Examplary