"Question 7 A godown measures 60 m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.
Class 9 - Math - Surface Areas and Volumes Page 228"
Answers
VOLUME:
The space occupied by an object solid body is called the volume of the particular object solid body volume is always measured in cubic unit.
Volume of a liquid that can fill the interior of the hollow is called the capacity of the hollow object.
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Given:
Dimension of godown = l=60 m , b=25 m ,h=10 m
Volume of the godown= l×b×h
Volume of the godown = (60 × 25 × 10)
= 15000 m³
Given:
Dimension of wooden crates = l=1.5m ,b=1.25m, h=
0.5m
Volume of the wooden crates= l×b×h
Volume of 1 wooden crate =1.5 × 1.25 × 0.5
= 0.9375 m³
Number of wooden crates that can be stored
=Volume of the godown/Volume of 1 wooden crate
= 15000/0.9375
= 16000
The maximum number of wooden crates can be stored in a godown= 16000
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Hope this will help you,,,
Volume of a wooden crate=1.5×1.25×0.5m^3
=15/10×125/100×5/10=3/2×5/4×1/2m^3
Let the required number of wooden crates be n×3/2×5/4×1/2=40×25×10
n=40×25×10/3/2×5/4×1/2=40×25×10/3×5×1]×2×4×2=10666.67
The maximum number of wooden crates 10667