Comparison of the Volumes of Solids based on their shapes
Which rectang...
Question
Which rectangular solid has greater volume? (Some of the cubes might be hidden behind other cubes. Try to visualise all of the cubes)
A
Both the solids have equal volume.
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B
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C
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D
Can't be determined
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Solution
The correct option is C We can see that there are 3 cubes in each layer of the first rectangular solid. Volume = length × width × height = 3 × 1 × 3 = 9 unit cubes
Similarly, we can see that there are 6 cubes in each layer of the second rectangular solid. Volume = length × width × height = 3 × 2 × 2 = 12 unit cubes
Therefore, second rectangular solid has greater volume.