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.