Volume is the amount of room inside a 3-dimensional figure. It is measure up in cubic units. A cubic centimeter is a cube the is 1 centimeter wide, 1 cm long, and also 1 centimeter high.

You are watching: How many unit cubes in a rectangular prism

Another method to think that volume is to uncover the variety of unit cubes essential for structure the figure.

Suppose this is a cubic unit: How countless cubic systems would be needed to develop this object?
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How many unit cubes are required to construct this object? | |

How many cubes space in this figure? | There space 6 cubes top top the bottom "floor" over there are additionally 6 cubes ~ above the 2nd "floor" And there room 6 cubes top top the 3rd (top) "floor" So, there are 18 cubes in this figure. |

Example 3 reflects us that a shortcut for recognize the volume that a rectangular prism is to uncover the number of cubes ~ above the bottom "floor" and the main point by the variety of floors.

Volume = (number of cubes on the bottom floor) x (number the floors) Volume = Area the the base x height Volume = together • w • h |

Let"s exercise this shortcut with a couple of more examples...

Find the volume the this rectangular prism. | Volume = (Area that the base) • (height) Volume = (4 • 3) • 5 Volume = 60 $\mboxcm^3$ (If you look at each layer, there room 12 cubes in each. There are 5 layers, so that would make a total of 60 cubes.) |

Find the volume. | Volume = together • w • h Volume = 6 • 3 • 3 Volume = 36 cubic units |

Find the volume. | V = l • w • h V = 5 • 4 • 7 V = 140 devices cubed |

Find the volume that this prism. | $\large~24\mbox u^3$ |

Find the volume. | $\large~42\mbox cm^3$ |

Find the volume. | $\large~48\mbox cm^3$ ‹ surface ar area of rectangular prisms increase Volume the cylinders › ## Google suitable Ad |