# ACT Math 4.5 Plane Geometry

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ACT Math: Plane Geometry Drill 4, Problem 5. What is the height of the prism?

ACT Math | Plane Geometry |

ACT Mathematics | Plane Geometry |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Geometry | 3D Geometry |

Language | English Language |

Plane Geometry | Applications of geometry to three dimensions Volume |

Product Type | ACT Math |

### Transcript

immediately come to mind.

With any of these things, the total volume

is measured by the length times width times height. Using the values from this problem,

we are given: width, which we can label as x

length, which equals 2 times width or 2x and height, which equals 3 times width or 3x.

If we multiply them all together, we get 6x

cubed, which is the volume and which we are told equals 3,072.

We first divide 3,072 by 6, we get 512. Then what times what times what is 512

8 times 8 = 64 times 8 is 512. X=8

Well they ask for the height.

All we have to do is multiply x, the width, by 3 the height to get 24, which means

B is the correct answer.