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

$64$

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

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

Number of plastic boxes that can be packed inside the cardboard box $=\frac{\text{Volume of cardboard box}}{\text{Volume of one plastic box}}=\frac{36\times 24\times 20}{9\times 6\times 5}=64$