The width of the parallelepiped is 3 full 3/4 cm, its length is 4/5 of the width, and the height is 7/30

The width of the parallelepiped is 3 full 3/4 cm, its length is 4/5 of the width, and the height is 7/30 of the length. Calculate the volume.

The volume of a rectangular parallelepiped is found by the formula: V = abc.
Where:
a – width;
b – length;
c – the height of the parallelepiped.
All lengths must be recorded in the same unit.
We know the width: b = 3 3/4 cm.
Let’s find the length. By condition, it is 4/5 of the width – part of the width. To find the part, you need to multiply the whole by the fraction:
1) 3 3/4 • 4/5 = 15/4 • 4/5 = 3 (cm) – the length of the parallelepiped, a = 3 cm.
Let’s find the height, by condition it is 7/30 of the length. Part again:
2) 3 • 7/30 = 7/10 (cm) – the height of the parallelepiped, c = 7/10 cm.
3) V = 3 3/4 • 3 • 7/10 = 15/4 • 3 • 7/10 = 21 (cm³).
Answer: 21 cm³.