Q1. The internal length, breadth and height of a rectangular box are 8 cm, 6 cm and 4 cm respectively. How many boxes can be packed in a cube whose volume is 6144 cm3?
A 32 Correct
B 36
C 28
D 34
Explanation
The volume of one rectangular box is 8 x 6 x 4 = 192 cubic cm. The cube has a volume of 6144 cubic cm. Dividing the total available volume by the volume of one box gives 6144 ÷ 192 = 32. Thus, by the volume method used in this item, 32 boxes can be packed. The values 36, 28, and 34 would require total volumes different from 6144 cubic cm, so they do not satisfy the given measurements.