The width of a rectangular parallelepiped, equal to 1 1/5 m, is 2/3 of its length, and its height is 1 1/2

The width of a rectangular parallelepiped, equal to 1 1/5 m, is 2/3 of its length, and its height is 1 1/2 times less than its width. Which is smaller and by how much: the volume of a parallelepiped or the volume of a cube with an edge of 1 1/5 m?

By condition, it is known that the width of the parallelepiped is 1 1/5 m (1.2 m).

The width is 2/3 of the length, let’s find the length:

1 1/5 / 2/3 = 6/5 / 2/3 = 6/5 * 3/2 = 18/10 = 1.8 m.

Let’s find the height, taking into account that it is 1 1/2 (1.5) times less than the width:

1.2 / 1.5 = 0.8 m.

Let’s calculate the volume of this parallelepiped:

V = 1.2 * 1.8 * 0.8 = 1.728 m³.

We calculate the volume of the cube, 1 1/5 m = 1.2 m:

V = 1.2³ = 1.728 m³.

1.728 m³ = 1.728 m³.

Answer: a cube and a parallelepiped have the same volume, 1.728 m³.