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Question

A warehouse measures 18 m × 12 m × 6 m. It is filled with blocks, each measuring 1 m × 2 m × 3 m, completely. If 150 such blocks are removed from the warehouse, find the volume of the remaining blocks.

A
300 cubic meters
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B
946 cubic meters
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C
390 cubic meters
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D
396 cubic meters
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Solution

The correct option is D 396 cubic meters
To find the volume of the remaining blocks, we need to subtract the volume of 150 blocks from the volume of the warehouse.

Volume of the warehouse
= 18 × 12 × 6 = 1296 cubic m

Volume of 1 block
= 1 × 2 × 3 = 6 cubic m

150 such blocks are removed.

The removed volume = 150 × 6 = 900 cubic m

Remaining volume = 1296 - 900 = 396 cubic m

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