Question

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by 20 cm by 20 cm, how many bulbs would be packed in one carton ?​

Answer 1

250

Explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

• l = 5 cm, w = 4 cm, h = 4 cm

• 
  `V_(Bulb\: box) =lwh`

• 
  `\implies V_(Bulb\: box) =5(4)(4)`

• 
  `\implies V_(Bulb\: box) =80\: cm^3`

For Carton the dimensions are:

• l = 50 cm, w = 20 cm, h = 20 cm

• 
  `V_(Carton) =lwh`

• 
  `\implies V_(Carton) =50(20)(20)`

• 
  `\implies V_(Bulb\: box) =20,000\: cm^3`

To find the number of bulbs packed in the carton, divide the
`V_(Carton)` by
`V_(Bulb\: box)`

• 
  `Number \:of \:bulbs =(V_(Carton))/(V_(Bulb\: box))`

• 
  `\implies Number \:of \:bulbs =(20,000)/(80)`

• 
  `\implies Number \:of \:bulbs = 250`

So, 250 bulbs will be packed in one carton.