Question

A carton is in the shape of a cuboid of measure 200 cm × 100 cm × 50 cm. A box is in the shape of a cube of measure 5 cm × 5 cm × 5 cm. Then how many boxes can be stored in the carton?
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Answer 1

Answer:

Side of cuboid box =120 m

volume of cuboid box =(120)

3

volume of =1.728.000cm

3

Dimensions of cuboid box=20cm×120cm×6cm

volume of box=20×120×6

=72×20

volume of box= 1440cm

2

.

no. of cubical box can fit into cubical box =

1440

1728000

No of boxes = 1200.

Answer 2

Answer:

8000 boxes

Step-by-step explanation:

length of cuboid = 200cm

breadth of cuboid = 100cm

height of cuboid = 50cm

therefore, volume of cuboid = lbh = 200*100*50 = 1000000cm

side of cuboid = 5cm

therefore, volume of cube = a3 = 5*5*5 = 125

No.of boxes = volume of cuboid/volume of cube = 1000000/125 = 8000

therefore, no.of boxes that can be stored in the carton = 8000