How many cuboid boxes of size 10 cm × 5 cm × 2 cm can be packed into a carton of size 50 cm × 25 cm × 20 cm without leaving any space?
Show answer & explanation
Correct answer: C
Explanation
Given:
Dimensions of the small box = 10 cm × 5 cm × 2 cm
Dimensions of the carton = 50 cm × 25 cm × 20 cm
According to the formula:
Total number of boxes = (Volume of the carton) / (Volume of the small box)
Volume of the carton = 50 × 25 × 20 = 25,000 cm³
Volume of the small box = 10 × 5 × 2 = 100 cm³
Total number of boxes = 25,000 / 100 = 250