The width of a rectangular parallelepiped is three full 3/4 cm, its length is five whole 1/3 times its width

The width of a rectangular parallelepiped is three full 3/4 cm, its length is five whole 1/3 times its width, and the height is 80% of the length. Calculate the volume of the parallelepiped.

Decision.

Width: a = 3 3/4 cm.

Find the length:

b = 3 3/4 * 5 1/3 = 15/4 * 16/3 = (15 * 16) / (4 * 3)

Reduce 15 and 3 by 3, and 16 and 4 by 4, we get:

b = 5 * 4 = 20 (cm)

Now let’s find the height. To do this, we represent 80% as a decimal fraction:

80% = 0.8

c = 0.8 * 20 = 16 (cm)

The volume of a rectangular parallelepiped is calculated by the formula: V = abc

V = 3 3/4 * 20 * 16 = 15/4 * 20 * 16 = (15 * 20 * 16) / 4

Reducing 16 and 4 by 4, we get:

V = 15 * 20 * 4 = 60 * 20 = 1200 (cubic centimeters)

Answer: 1200 cubic centimeters.