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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 : 8. The surface area of solid B is 1152cm^{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 3 : 4. The volume of solid A is 162cm^{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 9 : 25. 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 25 : 49. The volume of solid A is 2000cm^{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 : 729. The height of solid A is 65cm. 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 125 : 512. The surface area of solid B is 960cm^{2}. Calculate the surface area of solid A. |

Question 7: Solid A and solid B are mathematically similar. The height of solid A is 18cm and the height of solid B is 45cm. 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 28cm^{2} and the surface area of solid B is 567cm^{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 12cm^{3} and the volume of solid B is 6144cm^{3}. Calculate the ratio of the height of solid A : the height of solid B. |

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# Answers

Question 1: 162cm^{2} |

Question 2: 384cm^{3} |

Question 3: 70cm |

Question 4: 5488cm^{3} |

Question 5: 117cm |

Question 6: 375cm^{2} |

Question 7: 4 : 25 |

Question 8: 8 : 729 |

Question 9: 1 : 8 |