If I have a box L = 40cm , B = 25cm , H=30cm and cylinders with the height 10cm & length 5cm , how many cylinders will fit in the box and how is this done?

Question

How is this done? expand please? 

 

If I have a box L = 40cm , B = 25cm , H=30cm and cylinders with the height 10cm & length 5cm , how many cylinders will fit in the box and how is this done?

I can't figure out what to do in whether i'm correct or not

Answer 1

The volume of the box is 30,000 sq cm ( this is by multiplying L*B*H)

 

The volume of the cylinder is = 196.35 sq cm ( R=2.5 and height =10cm)  I am assuming the length of the cylinder is the diameter. 

 

The number of cylinders that will fit in the box is 30000/196.35 = 152.788. 

We cannot round it off to 153 as it fits only 152 and some a part extra. 

 

Hence i would say the number of cylinders would be 152. 

 

 

There is another way to look at it - (like arranging cans of food in a box)

the length is 40 for the box and that of the cylinder is 5 - So we can fit 8 along the length. 

B= 25 and if the cylinder is 5 cm length then i can arrange 5 along. 

so i can place 8 * 5 = 40 cylinders as the first level inside the box 

The height of the box is 30 cm and that of the cylinder is 10 - So i can place 3 cylinders one on top of other.

 

So i can fit 3*40 cylinders = 120 cylinders in the box

 

 

 

Depending on where you come across this questions- the approach may be different