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?
|Difficulty||Easy – Medium|
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.
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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