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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 ?​

Respuesta :

Hrishii

Answer:

250

Step-by-step 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

  • [tex]V_{Bulb\: box} =lwh[/tex]

  • [tex]\implies V_{Bulb\: box} =5(4)(4)[/tex]

  • [tex]\implies V_{Bulb\: box} =80\: cm^3[/tex]

For Carton the dimensions are:

  • l = 50 cm, w = 20 cm, h = 20 cm

  • [tex]V_{Carton} =lwh[/tex]

  • [tex]\implies V_{Carton} =50(20)(20)[/tex]

  • [tex]\implies V_{Bulb\: box} =20,000\: cm^3[/tex]

To find the number of bulbs packed in the carton, divide the [tex]V_{Carton}[/tex] by [tex] V_{Bulb\: box}[/tex]

  • [tex] Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}[/tex]

  • [tex] \implies Number \:of \:bulbs =\frac{20,000}{80}[/tex]

  • [tex] \implies Number \:of \:bulbs = 250[/tex]

So, 250 bulbs will be packed in one carton.

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