A rectangular box with square base has its length 15 cm greater than its breadth and the total length of its edges is 1.8 m. Its volume is

Let's denote the breadth (which is the same as the length of the square base) as 'a' cm. Since the length of the box is 15 cm greater than the breadth, we'll denote the length as 'a + 15' cm. The height of the box is also 'a' cm because the base is a square.

The total length of the edges of the box is given as 1.8 m, which equals 180 cm (since 1 m = 100 cm). The box has 12 edges in total: 4 from the base, 4 from the top, and 4 vertical.

Given that all edges sum up to 180 cm, we can write this as:

4a + 4(a + 15) + 4a = 180
12a + 60 = 180
12a = 120
a = 10 cm

So, the dimensions of the box are:
breadth = a = 10 cm,
length = a + 15 = 25 cm, and
height = a = 10 cm.

The volume of a rectangular box is given by the formula:

Volume = length * breadth * height
= 25 cm * 10 cm * 10 cm
= 2500 cm3

So, the answer is  2500 cm³.