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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 2 : 5. The surface area of solid B is 150cm^{2}. Calculate the surface area of solid A. |

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 5 : 6. The volume of solid B is 2808cm^{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 9 : 16. The height of solid A is 42cm. Calculate the height of solid B. |

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 1 : 9. The volume of solid B is 432cm^{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 : 512. The height of solid A is 40cm. Calculate the height of solid B. |

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 27 : 512. The surface area of solid B is 576cm^{2}. Calculate the surface area of solid A. |

Question 7: Solid A and solid B are mathematically similar. The height of solid A is 12cm and the height of solid B is 96cm. 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 180cm^{2} and the surface area of solid B is 500cm^{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 136cm^{3} and the volume of solid B is 5831cm^{3}. Calculate the ratio of the height of solid A : the height of solid B. |

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# Answers

Question 1: 24cm^{2} |

Question 2: 1625cm^{3} |

Question 3: 56cm |

Question 4: 16cm^{3} |

Question 5: 64cm |

Question 6: 81cm^{2} |

Question 7: 1 : 512 |

Question 8: 27 : 125 |

Question 9: 2 : 7 |