Question

How many sack of dimension 15cm×45cm×90cm filled with rice can be kept in a room of dimension 3cm×18cm×9cm

Answer 1

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]

= $\frac{486 m^3}{0.06075 m^3}$

= 8000

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