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

| September 1, 2021 | education

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

The length of the parallelepiped is 50 cm, its width is 48% of the length, we make up the proportion (we take the length of the parallelepiped for 100%):

50 cm = 100%,

x cm = 48%.

50 / x = 100/48.

x = 50 * 48: 100 = 24 (cm) – the width of the parallelepiped.

The height is 1 2/3 times the width, we find the value for the height:

24 * 1 2/3 = 24 * 5/3 = 8 * 5 = 40 (cm) – the height of the parallelepiped.

Let’s find the volume of a rectangular parallelepiped (volume is equal to the product of length and width and height):

V = a * b * h = 50 * 24 * 40 = 48000 (cm3).

Answer: the volume of a parallelepiped is 48000 cm3.



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