Question

how many carton boxes each of dimension 80cm×50cm×20cm can be placed in a room of length 4m,breadth 2m,height 1m?​

Answer 1

Answer:

100 cartons

Step-by-step explanation:

Dimensions of room:

• Length of room = 4 metres
• Breadth of the room = 2 metres
• Height of the room = 1 metre

Dimensions of a carton:

• Length of carton = 80 cm
• Breadth of carton = 50 cm
• Height of carton = 20 cm

To find:

Number of cartons

Number of cartons = $\frac{Volume \ of \ the \ room}{Volume \ of \ a \ carton}$

Volume of room = length×breadth×height

volume of room = 4×2×1

Volume of room = 8 m³

Volume of a carton = 80cm×50cm×20cm

Volume of a carton = 80,000 cm³

1 m³=1000000cm³

Volume of room = 8m³ =8000000cm³

Number of cartons = $\frac{ 8000000}{80000}$

Number of cartons = 100

100 cartons can be placed inside the room

Answer 2

✯✯ QUESTION ✯✯

How many carton boxes each of dimension 80cm×50cm×20cm can be placed in a room of length 4m,breadth 2m,height 1m?

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✰✰ ANSWER ✰✰

➜Dimensions of Room : -

$\longrightarrow{Length=80cm}$

$\longrightarrow{Breadth=50cm}$

$\longrightarrow{Height=20cm}$

➜Dimensions of Carton : -

We will convert Dimensions of Carton into Centimetres...

• 1m = 100cm

$\longrightarrow\textbf{{Length=4m}}$

$\longrightarrow{4×100=400cm}$

$\longrightarrow\textbf{{Breadth=2m}}$

$\longrightarrow{2×100=200cm}$

$\longrightarrow\textbf{{Height=1m}}$

$\longrightarrow{1×100=100cm}$

➜Now ,

$\longrightarrow{No\:of\:Carton=\dfrac{Volume\:of\:room}{Volume\:of\:Carton}}$

$\longrightarrow{\dfrac{400×200×100}{80×50×20}}$

$\longrightarrow{10×10}$

$\longrightarrow{\large{\boxed{\bold{\bold{\orange{\sf{100\:Cartons.}}}}}}}$