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Question 1: Solid A and solid B are mathematically similar. The ratio of the height of solid A to the height of solid B is 1 : 8. The surface area of solid A is 20cm^{2}. Calculate the surface area of solid B. |

Question 2: Solid A and solid B are mathematically similar. The ratio of the height of solid A to the height of solid B is 2 : 7. The volume of solid B is 5145cm^{3}. Calculate the volume of solid A. |

Question 3: Solid A and solid B are mathematically similar. The ratio of the surface area of solid A to the surface area of solid B is 4 : 81. The height of solid B is 117cm. Calculate the height of solid A. |

Question 4: Solid A and solid B are mathematically similar. The ratio of the surface area of solid A to the surface area of solid B is 16 : 81. The volume of solid B is 13122cm^{3}. Calculate the volume of solid A. |

Question 5: Solid A and solid B are mathematically similar. The ratio of the volume of solid A to the volume of solid B is 125 : 729. The height of solid B is 90cm. Calculate the height of solid A. |

Question 6: Solid A and solid B are mathematically similar. The ratio of the volume of solid A to the volume of solid B is 1 : 216. The surface area of solid B is 324cm^{2}. Calculate the surface area of solid A. |

Question 7: Solid A and solid B are mathematically similar. The height of solid A is 6cm and the height of solid B is 18cm. Calculate the ratio of the volume of solid A : the volume of solid B. |

Question 8: Solid A and solid B are mathematically similar. The surface area of solid A is 400cm^{2} and the surface area of solid B is 576cm^{2}. Calculate the ratio of the volume of solid A : the volume of solid B. |

Question 9: Solid A and solid B are mathematically similar. The volume of solid A is 896cm^{3} and the volume of solid B is 1750cm^{3}. Calculate the ratio of the surface area of solid A : the surface area of solid B. |

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# Answers

Question 1: 1280cm^{2} |

Question 2: 120cm^{3} |

Question 3: 26cm |

Question 4: 1152cm^{3} |

Question 5: 50cm |

Question 6: 9cm^{2} |

Question 7: 1 : 27 |

Question 8: 125 : 216 |

Question 9: 16 : 25 |