## OGQR 2020: Question No. 101

What is the greatest number of blocks 8 centimetres by 6 centimetres by 9 centimetres that will fit into a storage space that is 60 centimetres by 72 centimetres by 96 centimetres?

Source | OGQR 2020 |

Type | Problem Solving |

Topic | Geometry |

Sub-Topic | Rectangular Solid |

Difficulty | Easy – Medium |

### Solution

__Given__

__Given__

In this question, we are given

- There is a storage space of dimension 60 centimetres by 72 centimetres by 96 centimetres.
- Each block, that fills the storage space, is of dimension 8 centimetres by 6 centimetres by 9 centimetres.

__To Find__

__To Find__

We need to determine

- The greatest number of blocks required that will fill the storage.

__Approach & Working__

__Approach & Working__

Volume of the storage space = 60 * 72 * 96

Volume of each block = 8 * 6 * 9

- Therefore, number of blocks needed = (60 * 72 * 96) / (8 * 6 * 9) = (60/6) * (72/9) * (96/8) = 10 * 8 * 12 = 960

Hence, the correct answer is option D.

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