A cardboard box is 1.2 m long, 72 cm wide and 54 cm high. How many bar

1.	A cardboard box is 1.2 m long, 72 cm wide and 54 cm high. How many bars of soap can be put into it if each bar measures 6 cm x 4.5 cm x 4 cm?
Answer» We know that, Volume of cuboid = Length × Breadth × Height Firstly, we have to find out volume of cardboard box Volume of cardboard box = 120 × 72 × 54 = 466560 cm³ Now, Volume of each bar of soap = 6 × 4.5 × 4 = 108 cm³ Therefore, Total number of bars of soap that can be accommodated in that box = \(\frac{Volume\,of\,the\,box}{Volume\,of\,each\,soap}\) = \(\frac{466560}{108}\) = 4320 bars

A cardboard box is 1.2 m long, 72 cm wide and 54 cm high. How many bars of soap can be put into it if each bar measures 6 cm x 4.5 cm x 4 cm?

Answer»

We know that,

Volume of cuboid = Length × Breadth × Height

Firstly, we have to find out volume of cardboard box

Volume of cardboard box = 120 × 72 × 54

= 466560 cm³

Now,

Volume of each bar of soap = 6 × 4.5 × 4

= 108 cm³

Therefore,

Total number of bars of soap that can be accommodated in that box

= \(\frac{Volume\,of\,the\,box}{Volume\,of\,each\,soap}\)

= \(\frac{466560}{108}\)

= 4320 bars