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Question
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is ______.
Options
1900
1920
1800
1840
Solution
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is 1920.
Explanation:
Here, dimensions of the plank are length (l) = 4 m,
Breadth (b) = 50 cm = `50/100` m = 0.5 m
And height (h) = 20 cm = `20/100` m = 0.2 m
∴ Volume of the plank = l × b × h
= 4 × 0.5 × 0.2 m3
= 0.4 m3
Also, given that dimensions of the pit are length (l) = 16 m, breadth (b) = 12 m and height (h) = 4 m
∴ Volume of a pit = l × b × h
= (16 × 12 × 4) m3
∴ Number of planks = `"Volume of the pit"/"Volume of the plank"`
= `(16 xx 12 xx 4)/0.4`
= 16 × 12 × 10
= 1920
Hence, the number of planks is 1920.
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