Question

How many boxes, each of size 10 cm x
8 cm x 5 cm can be packed in a carton
of size 100 cm x 72 cm x 50 cm?​

Answer 1

$\LARGE\sf{Given}$

Size of each box = 10 cm × 8 cm × 5 cm

length of box = 10 cm

breadth of box = 8 cm

height of box = 5 cm

∴ Volume of box = 10 × 8 × 5

$\LARGE\sf{Given}$

Size of carton = 100 cm × 72 cm × 50 cm

length of carton = 100 cm

breadth of carton = 72 cm

height of carton = 50 cm

∴ Volume of carton = 100 × 72 × 50

No :- of boxes can be packed in carton =

$\LARGE\frac{Volume\:of\:carton}{Volume\:of\:box}$

∴ $\LARGE\frac{100×72×50}{10×8×5}$

∴ No :- of boxes which can be packed in the carton is $\large\sf\underline{900\:boxes}$

Answer 2

__________________________

Size of each box = 10 cm × 8cm × 5 cm

Length of box = 10cm

Breadth of box = 8cm

Height of box = 5cm

Therefore, Volume of Box = 10 × 8 × 5

__________________________

Size of Carton = 100cm × 72cm × 50cm

Length of carton = 100cm

breadth of carton = 72cm

Height of carton = 50cm

Therfore, Volume of Carton = 100 × 72 × 50

__________________________

Number of boxes which can be packed in carton =

Volume of carton divided by Volume of box =

100 × 72 × 50 / 10 × 8 × 5 = 3,60000 / 400 =

900 boxes.

__________________________

Therefore, 900 boxes can be packed in the carton.