Question

A shopkeeper has 10 huge almirahs where he can store packets of readymade garments. the almirahs are 1.5 metre long,1metre deep and 2 metre high. how many packets of garments can be stored in the almirah, if each packet measures 25 CM by 20 CM by 4 cm​

Answer 1

Volume of each almirah=l*b*h=150*100*200 cu.cm

Volume of 10 almirah=10*150*100*200 cu.cm

No. of packets that can be stored=10*150*100*200/25*20*4=15000

Answer 2

Therefore he can be stored 15000 packets of garments in the almirahs.

Step-by-step explanation:

Given, A shopkeeper has 10 huge almirahs. The almirahs are 1.5 m long , 1 m deep and 2 m high.

Therefore the volume of each almirah = (1.5×1×2) m³

The volume of 10  almirahs is =(10×1.5×1×2)m³

Given, each packet measures 25 cm by 20 cm by 4 cm.

The volume of each packet is =(25×20×4) cm³

Let, he can be stored x number of packets in the almirahs.

Total volume of x packets is  $=(x\times 25 \times 20\times 4)$ cm³

                                                $=(x\times 25 \times 20\times 4\times 10^{-6})$  m³

According to the problem,

$\therefore x\times 25 \times 20\times 4\times 10^{-6}=10\times 1.5\times 1 \times 2$

$\Rightarrow x =\frac{10\times 1.5\times 1 \times 2}{25 \times 20\times 4\times 10^{-6}}$

$\Rightarrow x = 15000$

Therefore he can be stored 15000 packets of garments in the almirahs.