The sum of the lengths of the edges of a rectangular parallelepiped is 34.8 cm, the length is 2

The sum of the lengths of the edges of a rectangular parallelepiped is 34.8 cm, the length is 2 times the width, and the height is 1.3 cm less than the width. What is the volume of a rectangular parallelepiped?

x cm – the width of the parallelepiped;

2 x cm – the length of the parallelepiped;

(x – 1.3) cm – the height of the parallelepiped;

There are twelve edges in a parallelepiped: four lengths; four widths; four heights;

that is, the sum of the edges can be represented as follows:

4 * x + 4 * 2 x + 4 * (x – 1.3) = 34.8;

4 x + 8 x + 4 x – 5.2 = 34.8;

16 x = 40; x = 2.5 cm – the width of the parallelepiped;

2 x = 2.5 * 2 = 5 (cm) – the length of the parallelepiped;

(x – 1.3) = 2.5 – 1.3 = 1.2 (cm) – the height of the parallelepiped;

The volume of the parallelepiped is:

2.5 * 5 * 1.2 = 15 (cm³).