Question

A pencil box measures 10 cm x 6 cm x 4 cm. How many such pencil boxes can be out in a carton of length 50 cm, breadth 40 cm and height 30 cm??

Answer 1

AnswEr :

▣ Dimensions of Pencil Box

• Length = 10 cm
• Breadth = 6 cm
• Height = 4 cm

➟ Volume of Pencil Box

➟ Length × Breadth × Height

➟ 10 cm × 6 cm × 4 cm

➟ 240 cm³

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▣ Dimensions of Cartoon Box

• Length = 50 cm
• Breadth = 40 cm
• Height = 30 cm

➟ Volume of Cartoon Box

➟ Length × Breadth × Height

➟ 50 cm × 40 cm × 30 cm

➟ 60,000 cm³

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$\boxed{\Rightarrow~ \bold{No. \: of \: pencil \: box = \frac{Volume \: of \: Cartoon \: box }{Volume \: of \: pencil \: box} }}$

➟ $\large \bold{No. \: of \: pencil \: box = \huge{\frac{60000}{240}} }$

➟ $\red{\large \bold{No. \: of \: pencil \: box = 250}}$

$\large\therefore$ Total 250 Pencil Boxes Can be Put in that Cartoon Box.

Answer 2

Answer :

★ Dimensions of pencils :-

=> Length= 10cm

=> Breadth= 6cm

=> Height= 4cm

➡ Volume of pencil = Length × Breadth × Height.

= 10cm × 6cm × 4cm.

= 240 cm³

________________________________

★ Dimensions of cartoon box :-

=> Length= 50cm

=> Breadth= 40cm

=> Height= 30cm

➡ Volume of box = Length × Breadth × Height.

= 50cm × 40cm × 30cm

= 60000 cm³

________________________________

➡ Number of pencil box = Volume of Cartoon box / Volume of pencil box

= 60000cm³/240cm³

= 250

↪Hence, Total Numbers of pencil box is 250.