Question

A room has the dimensions of 10m x 6m x 8m. How many boxes of dimension 1.5m x 2m x 0.5m can fit in the room?

Answer 1

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Dimensions of room :-

Length = 10m

Breadth = 6m

height = 8m

Dimensions of the box :-

Length = 1.5m

breadth = 2m

Height = 0.5m

Volume of room :-

= l*b*h

= 10*6*8

= 480 m³

Volume of 1 box :-

= l*b*h

= 1.5*2*0.5

= 1.5m³

Number of boxes that can fill the room :-

$= \frac{volume \: of \: room \:}{volume \: of \: box}$

$= \frac{ \cancel {480}}{ \cancel {1.5} }$

$= 320$

∴ 320 boxes can be fit in the room.

Answer 2

Dimensions of room :-

Length = 10m

Breadth = 6m

height = 8m

Dimensions of the box :-

Length = 1.5m

breadth = 2m

Height = 0.5m

Volume of room :-

= l*b*h

= 10*6*8

= 480 m³

Volume of 1 box :-

= l*b*h

= 1.5*2*0.5

= 1.5m³

Number of boxes that can fill the room :-

= \frac{volume \: of \: room \:}{volume \: of \: box}=

volumeofbox

volumeofroom

= \frac{ \cancel {480}}{ \cancel {1.5} }= 480÷105

= 320=320

∴ 320 boxes can be fit in the room