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General

General

Easy

Question

A godown measures 40 m x25m x15 m. Find the maximum number of wooden crates each measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown ?

hint Hint:

A cuboid is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are rectangles.

Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds. Volume of a cuboid = length $cross times$ width $cross times$ height

1 $m cubed$ = 1,000 L

The correct answer is: Total 16,000 wooden crates can be fitted in the given godown.

Step-by-step solution:
From the given information, we get-

Length of the godown = 40

Breadth of the godown = 25

Height of the godown = 15

Length of the wooden crates = 1.5

Breadth of the wooden crates = 1.25

Height of the wooden crates = 0.5

Now, we know that- Volume of a cuboid = length $cross times$ breadth $cross times$ height
∴ Volume of the given godown = 40 $cross times$ 25 $cross times$ 15
∴ Volume of the given godown = 15,000 $m cubed$ .................................................................... (Equation i)
Volume of a cuboid = length $cross times$ breadth $cross times$ height
∴ Volume of the given wooden create = 1.5 $cross times$ 1.25 $cross times$ 0.5
∴ Volume of the given wooden create = 0.9375 $m cubed$ ......................................................... (Equation ii)
Now, we know that-
Number of crates that can be stored in the godown = $fraction numerator V o l u m e space o f space t h e space g o d o w n space over denominator V o l u m e space o f space t h e space w o o d e n space c r a t e end fraction$
∴ Number of crates that can be stored in the godown = $fraction numerator 15 comma 000 space over denominator 0.9375 end fraction$
∴ Number of crates that can be stored in the godown = 16,000.

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