The length of the rectangular parallelepiped is 50 cm, its width is 48% of the length, and its height

The length of the rectangular parallelepiped is 50 cm, its width is 48% of the length, and its height is 1 2/3 times its width. Calculate the volume of the parallelepiped.

Brief record of the task:

length – a = 50 cm;

width – b =? cm, 48% of the length;

height – c =? cm, 1 2/3 times the width;

volume – V =? cm ^ 3.

1. Calculate the width of the parallelepiped:

50 cm – 100%,

b cm – 48%,

b = 50 48: 100 = 24 cm.

2. Its height:

c = b 1 2/3 = b 5/3 = 24 5/3 = 40 cm.

3. The volume of the figure is found by the formula:

V = a b c = 50 24 40 = 48000 cm ^ 3.

Answer: V = 48000 cm ^ 3.