Question

A box is 1.5 m long, 40 cm wide, 30 cm tall. Small mobile boxes of measurements 4 cm × 4.5 cm × 40 mm are to be packed in the box, so that no space is left. Find how many mobile boxes can be packed in a box.

• A. 1670
• B. 1666
• C. 2500
• D. 2576

Answer 1

The correct option is C 2500

Given
Length of box ($l$) = 1.5m = 150 cm
Breadth of box ($b$) = 40 cm
Height of box ($h$) = 30 cm
Volume of box $=l\times b\times h$
$=150\times 40\times 30$
$=180,000{\text{cm}}^3$
Length of mobile box = 4 cm
Breadth of mobile box = 4.5 cm
Height of mobile box = 40mm = 4 cm
$\therefore$ Volume of mobile box $=6\times 4.5\times 4$
$=72{\text{cm}}^3$
$\therefore$ Required number of mobile boxes
$=\frac{\text{Volume of box}}{\text{Volume of mobile box}}$
$=\frac{180,000}{72}$
$=2500$
Hence, 2500 mobile boxes can be packed in the box.