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Question 8
The number of planks of dimensions (4m×50cm×20cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is:

A) 1900
B) 1920
C) 1800
D) 1840

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Solution

Given, dimensions of the plank are;
l=4 m, b=50 cm=50100 m=0.5 m
and h=20 cm=20100 m=0.2 m

Volume of the plank
=l×b×h=4×0.5×0.2=0.4 m3

Also, given dimensions of the pit are;
l = 16 m, b = 12 m and h = 4 m

Volume of pit
=l×b×h=(16×12×4) m3

Number of planks
=Volume of the pitVolume of the plank=16×12×40.4

=16×12×10=1920


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