The length, width and height of the hall are 5: 3: 1. The length is 8 m greater than the width. Find the volume (m3) of the hall.

Let’s make an equation and determine the length and width of the hall, if the first dimension is 8 m larger:

5x – 3x = 8.

2x = 8. The second factor is the quotient of the first one:

x = 8: 2 = 4.

Therefore, width = 4 * 3 = 12 m, and length = 4 * 5 = 20 m.

The height is 4 * 1 = 4 m.

The volume of a rectangular parallelepiped is calculated by the formula:

V = a * b * c = 20 * 12 * 4 = 960 m².