How many sacks of dimension 15cmx45cmx90cm filled with rice can be kept in a room of dimension 3mx18mx9m.
Answers
Answer:
8000 sacks of dimension 15cm×45cm×90cm filled with rice can be kept in a room of dimension 3m×18m×9m .
Step-by-step explanation:
Hi there,
The units of the dimensions of the room should be in meters otherwise it is not possible to fit a sack whose size is bigger than that of the room. Therefore considering the unit of the room to be in meters and solving it accordingly. Thanks :)
The dimensions of the room:
Length = 3 m
Breadth = 18 m
Height = 9 m
∴ The volume of the room = length × breadth × height = 3×18×9 = 486 m³
The dimensions of each sack:
Length = 15 cm = 0.15 m
Breadth = 45 cm = 0.45 m
Height = 90 cm = 0.90 m
∴ The volume of the each sack is,
= length × breadth × height
= 0.15 × 0.45 × 0.90
= 0.06075 m³
Thus,
The no. of sacks filled with rice that can be kept in the room is given by,
= [volume of the room] / [volume of the each sack]
= \frac{486 m^3}{0.06075 m^3}
0.06075m
3
486m
3
= 8000
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