The width of the rectangular parallelepiped is 2.1 cm, which is 7/15 of its length.

The width of the rectangular parallelepiped is 2.1 cm, which is 7/15 of its length. Find the Volume of the box if its height is 1.8.

The solution of the problem:

1) Given a rectangular parallelepiped. Its sides are known – width and height:

a = 2.1 cm, c = 1.8 cm.

2) We find the length, taking into account that its 7/15 part is equal to a:

b = 7/15: a,

b = 7/15: 2.1 = 2.1 * 15: 7 = 4.5 (cm).

3) Calculate the volume of the parallelepiped by the formula V = abc:

V = 2.1 * 4.5 * 1.8 = 17.01 (cc).

Answer: the volume of a parallelepiped is 17.01 cc.