The width of a rectangular parallelepiped is 1 7/8, which is 3 31/75 times

The width of a rectangular parallelepiped is 1 7/8, which is 3 31/75 times less than its length and 3/8 cm less than its height. Find the volume of the parallelepiped.

Length (a) =? cm, 3 31/75 times wide;

Width (b) = 1 7/8 cm;

Height (c) =? cm, 3/8 cm wider;

Volume (Vpr. Steam) -? cm ^ 3.

The first step is to calculate the length of a given rectangular parallelepiped:

1) 1 7/8 * 3 31/75 = 15/8 * 256/75 = 32/5 (cm) – length;

The second step is to find the height of the rectangular parallelepiped:

2) 1 7/8 + 3/8 = 15/8 + 3/8 = 18/8 (cm) – height;

It is known that the volume of a rectangular parallelepiped is calculated by the formula:

Vpr. Par. = a * b * c.

Substitute in this formula the values ​​of length, width and height known by condition and get:

Vpr. Par. = 32/5 * 15/8 * 18/8 =…. Let’s make reductions in numerators and denominators of fractions and get… = 27 (cm ^ 3).

Answer: the volume of a rectangular parallelepiped is 27 cm ^ 3.