Question

The length, breadth and height of a pencil box are 15 cm, 8 cm and 3 cm, respectively. How many
such boxes can be packed in a cuboidal box of edge 1.2 m long?​

Answer 1

Answer:

l=15,b=8,h=3

volume =l*b*h

=15*8*3

=360cm²

edge = 1.2m

1m=100cm

1.2m=1.2*100

=120cm

boxes can packed =360*120

=43,200 boxes.

Answer 2

$\huge\mathfrak{\underline{Answer:4800\:boxes}}$

$\rule{100}2$

$\textbf{\underline{\underline{Step-By-Step\:Explanation:-}}}$

In a pencil box,

• length = 15 cm
• breadth = 8 cm
• height = 3 cm

Length, breadth and height are given. Then, it's cuboid, for sure!

→ Volume of cuboid = length × breadth × height

Now,

Volume of match box = 15 × 8 × 3 = 360 cm³

Similarly,

Area of cube ( not cuboidal, because edges are same ) = ( side )³

→ Edge = 1.2 = 120 cm

Now,

( 120 )³ = 172800 cm³

→ Number of boxes to be packed  $= \dfrac{volume\:of\:cuboid}{volume\:of\:cube}$

$=\dfrac{172800}{360}$

$= 4800$

Answer :

$\sf\green{4800\:boxes\:can\:be\:packed\:in\:the\:given\:cuboidal\:box.}$

$\rule{200}2$