Question

how many cubical boxes of edges 7 cm can bre placed in a big box of dimenstions 63 cm × 56 cm × 14cm ?

Answer 1

Dimensions of the box:

Length= 63cm
Breadth = 56 cm
Height = 14cm

Volume of box = length × breadth × height

= 63cm × 56cm × 14cm

= 49392cm³

Edge of each small box = 7cm

Volume of each small box = side³ = (7cm)³ = 343cm³

Number of boxes that can be placed

$= \frac{volume \: of \: big \: box}{volume \: of \: each \: small \: box}$

$= \frac{49392 {cm}^{3} }{343 {cm}^{3} }$
= 144


Thus ,

144 boxes can be placed.

Answer 2

Hey!

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Side of the cubical box = 7 cm
Volume of the box = side^3
Volume = 7×7×7
Volume = 343 cm^3

Now, Bigger box-:

Length = 63 cm
Breath = 56 cm
Height = 14cm

Volume = l×b×h
Volume = 63×56×14
Volume = 49,392 cm^3

Number of cubical boxes that can be placed in the bigger box = Volume of bigger box / Volume of cubical box

=> 49,392/343

=> 144 cubical boxes can be placed in the bigger box.

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Hope it helps...!!!