Question

The length and breadth of a cuboid shaped paper are 1m and 60 cm respectively. If 1920 small cubes of 5 cm each can be placed in the box, find the height of box.

Answer 1

h = 40 cm

Explanation:

1. Let's calculate the total volume of 1920 cubes, size 5 x 5 x 5 cm:

V one = 5 cm x 5 cm x 5 cm = 125 cm³
V all = 1920 x 125 = 240,000 cm³

2. Divide this volume by the area of the paper to get the height, given that 1 m = 100 cm:

S paper = 100 cm x 60 cm = 6,000 cm²

h = V all / S paper = 240,000 / 6,000 = 40 cm