*You answered correctly if you wrote:*

1. | [3] = | dimensionless |

2. | given sin (wt), where t is time, [w] = | T^{-1} |

3. | [sin (wt)] = | 1 (dimensionless) |

4. | [force] = | M·L/T^{2} |

5. | [height] = | L |

6. | [frequency] = | T^{-1} |

7. | [displacement] = | L |

8. | [area × volume] = | L^{5} |

9. | [0.5 × volume] = | L^{3} |