The width of the rectangular parallelepiped is 10 2/3 cm, its length is 1 7/8 more than the width

The width of the rectangular parallelepiped is 10 2/3 cm, its length is 1 7/8 more than the width, and the height is 15% of the length. Calculate the volume of the parallelepiped.

Let us denote by the letters A, B, C the width, length and height of the parallelepiped, respectively.

The volume of a parallelepiped is calculated by the formula:

V = A * B * C.

The width is known, we find the length and height.

B = 10 (2/3) * 1 (7/8) = 32/3 * 15/8 = (32 * 15) / (3 * 8) = 4 * 5 = 20 (cm).

C = 15% * 20/100% = 3 (cm).

Then, the volume of the parallelepiped is:

V = 32/3 * 20 * 3 = 32 * 20 = 640 (cm ^ 3).