The width of the rectangular parallelepiped is 5.6 cm, which is 7/15

| May 25, 2021 | education

The width of the rectangular parallelepiped is 5.6 cm, which is 7/15 of its length, and the height is 40% of its length. Calculate the volume of the parallelepiped.

First of all, we determine the length of a rectangular parallelepiped, provided that its width, equal to 5.6 cm, is 7/15 of it.
In order to find out the value of a whole, if its part is known, it is necessary to multiply it by the denominator of the fraction and divide by the numerator:

5.6 * 15: 7 = 12 cm.

Let’s make a proportion with which we calculate the height – 40% of the length.
12 cm = 100%.

x = 40%.

Let’s write the equation, acting according to the “cross” rule and find the value of the variable:

x = 12 * 40: 100 = 480: 100 = 4.8 cm.

The volume of such a figure corresponds to the formula:
V = a * b * c = 12 * 5.6 * 4.8 = 322.56 cm³.



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