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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 171cm^{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 3 : 4. The volume of solid B is 704cm^{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 25 : 64. The height of solid B is 160cm. 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 25 : 49. The volume of solid B is 5145cm^{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 1 : 64. The height of solid A is 13cm. 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 8 : 343. The surface area of solid B is 833cm^{2}. Calculate the surface area of solid A. |

Question 7: Solid A and solid B are mathematically similar. The height of solid A is 64cm and the height of solid B is 144cm. 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 48cm^{2} and the surface area of solid B is 972cm^{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 576cm^{3} and the volume of solid B is 3087cm^{3}. Calculate the ratio of the height of solid A : the height of solid B. |

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# Answers

Question 1: 931cm^{2} |

Question 2: 297cm^{3} |

Question 3: 100cm |

Question 4: 1875cm^{3} |

Question 5: 52cm |

Question 6: 68cm^{2} |

Question 7: 16 : 81 |

Question 8: 8 : 729 |

Question 9: 4 : 7 |