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

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

• $V_{Bulb\: box} =lwh$

• $\implies V_{Bulb\: box} =5(4)(4)$

• $\implies V_{Bulb\: box} =80\: cm^3$

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 $V_{Bulb\: box}$

• $Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

• $\implies Number \:of \:bulbs =\frac{20,000}{80}$

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

So, 250 bulbs will be packed in one carton.