# A rectangular box measuring 15m in length,20m in breath and 25 m in height is fill up by small square boxes. Find the greatest length of side of each square box that can be used.

1
dari Brinda

## Jawapan

2015-08-26T23:55:51+08:00
Volume of the rectangular box = 15m X 20m X 25m
= 7500m³

Let say the length of square box is A.

So, the volume of the square box is A X A X A = A³

Thus, in order to search for the greatest length of the square box;
Number of boxes = A³ ÷ 7500; and the answer must be without decimals

By using trial-and-error method, let substitute A, if

A = 15m; Number of boxes = (15)³ ÷ 7500 = 2.222

A = 14m; Number of boxes = (14)³ ÷ 7500 = 2.733

A = 13m; Number of boxes = (13)³ ÷ 7500 = 3.414

A = 12m; Number of boxes = (12)³ ÷ 7500 = 4.34

A = 11m; Number of boxes = (11)³ ÷ 7500 = 5.635

A = 10m; Number of boxes = (10)³ ÷ 7500 = 7.5

A = 9m; Number of boxes = (9)³ ÷ 7500 = 10.288

A = 8m; Number of boxes = (8)³ ÷ 7500 = 14.648

A = 7m; Number of boxes = (7)³ ÷ 7500 = 21.866

A = 6m; Number of boxes = (6)³ ÷ 7500 = 34.722

A = 5m; Number of boxes = (5)³ ÷ 7500 = 60

Therefore, the greatest length of side of each square box that can be used is 5m to be fit in the rectangular box.