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How many planks of dimensions (500cm × 25cm × 10cm) can be stored in a pit which is 2000 cm long, 600 cm wide and 80 cm deep?

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768

123

567

456

answer is A.

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Detailed Solution

Given, plank has dimensions 500cm × 25cm × 10cm and pit has dimensions 2000cm × 600cm × 80cm.
The volume of the plank =

500 \times 25 \times 10 = 125000 c m^{3}

.
The volume of the pit =

2000 \times 600 \times 80 = 96000000 c m^{3}

.
The number of planks that fit in the pit is volume of pit

\div

volume of plank.
The number of planks =

\frac{96000000}{125000} = 768

.
Hence, option 1 is correct.

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