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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 3 : 7. The surface area of solid A is 153cm^{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 : 3. The volume of solid A is 64cm^{3}. Calculate the volume of solid B. |

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 16 : 49. The height of solid A is 36cm. 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 : 64. The volume of solid A is 10cm^{3}. Calculate the volume of solid B. |

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 : 216. The height of solid A is 90cm. 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 1 : 27. The surface area of solid B is 99cm^{2}. Calculate the surface area of solid A. |

Question 7: Solid A and solid B are mathematically similar. The height of solid A is 32cm and the height of solid B is 112cm. 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 304cm^{2} and the surface area of solid B is 475cm^{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 540cm^{3} and the volume of solid B is 10240cm^{3}. Calculate the ratio of the surface area of solid A : the surface area of solid B. |

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# Answers

Question 1: 833cm^{2} |

Question 2: 216cm^{3} |

Question 3: 63cm |

Question 4: 5120cm^{3} |

Question 5: 108cm |

Question 6: 11cm^{2} |

Question 7: 8 : 343 |

Question 8: 64 : 125 |

Question 9: 9 : 64 |