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Find the number of cuboidal boxes measuring $2 c m × 3 c m × 10 c m$ which can be stored in a carton whose dimensions are $40 c m × 36 c m × 24 c m$ .

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346

576

654

321

answer is B.

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Detailed Solution

It is given the dimension of the carton is

40 c m × 36 c m × 24 c m

and the dimension of the cubical box is

2 c m × 3 c m × 10 c m

.
The volume of the cuboid,

V = l × b × h

where l is length, b is breadth and h is height.
To find the number of cuboidal boxes that can be stored in the carton.
Volume of the carton is

= 40 c m × 36 c m × 24 c m

⇒

Volume of the carton is

= 34560 c m 3

Volume of the cuboidal box =

2 c m × 3 c m × 10 c m

⇒

Volume of the cuboidal box =

60 c m 3

Number of cuboidal boxes =

V o l u m e o f c a r t o n V o l u m e o f c u b o i d a l b o x e s

⇒

Number of cuboidal boxes =

34560 c m 3 60 c m 3

⇒

Number of cuboidal boxes

= 3456060

⇒

Number of cuboidal boxes =576
The number of cuboidal boxes that can be stored in the carton is 576.
Hence option (2) is correct.

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