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# 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? – OGQR 2020 Question #101 with Solution

## 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?

### Solution

#### 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

We need to determine

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

#### 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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