Question

How many plastic boxes of size $9cm,6cm,5cm$ can be packed inside a cardboard box of size $36cm,24cm,20cm$?

• A. $81$
• B. $100$
• C. $64$
• D. $36$

Answer 1

The correct option is C

$64$

Since, plastic boxes are to be filled inside the carboard box, the capacity of cardboard box will come into picture, so, we will talk about volume and not surface area.

Volume of cardboard box $=36\times 24\times 20\times =17280c{m}^3$

Volume of one plastic box $=9\times 6\times 5=270c{m}^3$

Number of plastic boxes that can be packed inside the cardboard box $=\frac{\text{Volume of cardboard box}}{\text{Volume of one plastic box}}$

$=\frac{17280}{270}=64$