Question

4. Find the number of cubical boxes of cubical side 3cm, which can be accommodated in carton of dimensions 15cm x 9cm x 12cm.

Answer 1

Step-by-step explanation:

How do we find the number of cubical boxes of cubical sides 3cm which can be accommodated in carton of dimension 15cm × 9cm × 12cm?

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Shaheer

Answered 3 years ago

We have to calculate the number of boxes that can be fit into the carton of dimensions 15×9×12

By these dimensions ..this is clear that it is a cubiodal carton….

And number of boxes which are going to fit in this can be calculated by the concept of volume of both …the cubical boxes and the cuboidal carton…

First you have to know the volume of cubiod and cube..

The volume of cuboid =length×base×hieght

And the volume of cube=length ×length×length

Now,

Volume of cuboidal carton will be=l×b×h

That is ….15×9×12=1620cm^3

And that the volume of the cubical box=l×l×l

That is….3×3×3=27cm^3

Now the number of cubical boxes that can be fit into the cubiodal carton will be=(volume of cuboidal carton)÷(volume of one cubical box)

=>1620÷27=60 boxes

Hence 60 boxes can be fit into that cuboidal carton…