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
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.
Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don’t you try out our FREE Trial? We are the most reviewed online GMAT Preparation company in GMATClub with more than 2000 reviews as of February 2021.
