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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?

SourceOGQR 2020
TypeProblem Solving
TopicGeometry
Sub-TopicRectangular Solid
DifficultyEasy – 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.

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