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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 : 5. 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 1 : 3. The volume of solid A is 10cm^{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 1 : 4. The height of solid A is 13cm. 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 25 : 49. The volume of solid A is 1500cm^{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 : 512. The height of solid B is 48cm. 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 8 : 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 7cm and the height of solid B is 28cm. Calculate the ratio of the surface area of solid A : the surface area of solid B. |

Question 8: Solid A and solid B are mathematically similar. The surface area of solid A is 18cm^{2} and the surface area of solid B is 648cm^{2}. Calculate the ratio of the height of solid A : the height 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 6860cm^{3}. Calculate the ratio of the surface area of solid A : the surface area of solid B. |

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# Answers

Question 1: 425cm^{2} |

Question 2: 270cm^{3} |

Question 3: 26cm |

Question 4: 4116cm^{3} |

Question 5: 30cm |

Question 6: 44cm^{2} |

Question 7: 1 : 16 |

Question 8: 1 : 6 |

Question 9: 9 : 49 |