## Exam Style Question## Worked solutions to typical exam type questions that you can reveal gradually |

Question id: 191. This question is similar to one that appeared in a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

Two similar pentagonal based pyramids have surface areas 200 cm^{2} and 50 cm^{2} respectively.

The volume of the larger pyramid is 800 cm^{3}.

Show that the volume of the smaller pyramid is 100 cm^{3}.

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