The length of the rectangular parallelepiped is 80cm. Its width is 3/5 of the length and 40% of the height.

| January 11, 2021 | education

The length of the rectangular parallelepiped is 80cm. Its width is 3/5 of the length and 40% of the height. Calculate the volume of the parallelepiped.

First of all, we find the width of a rectangular parallelepiped, provided that it is 3/5 of its length, equal to 80 cm.
In order to find the part of an integer value, you must divide it by the denominator of the fraction and multiply by its numerator.
80: 5 * 3 = 48 cm.
Further, we know that 48 cm wide is 40% of the height. Let’s compose the proportion and determine its value:
48 cm = 40%.
x = 100%.
Let’s write the equation, acting according to the “cross” rule and find the value of the variable:
x = 48 * 100: 40 = 4800: 40 = 120 cm.
Let’s determine the volume of this figure, according to the formula:
V = a * b * c = 80 * 48 * 120 = 460800 cm³.



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