The width of the rectangular parallelepiped is 15 cm, the height is 70% of the width, and the length

| July 23, 2021 | education

The width of the rectangular parallelepiped is 15 cm, the height is 70% of the width, and the length is 1 2/3 times the height. Find the volume of this parallelepiped.

Let us determine, by making a proportion, the height of a rectangular parallelepiped, provided that it is 70% of its width, equal to 15 cm.
100% = 15 cm.

70% = x.

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

x = 15 * 70: 100 = 1050: 100 = 10.5 cm.

The length is 1 2/3 times the height. Let’s write the expression and find it:
10 ½ * 1 2/3 We represent both factors as an improper fraction with a large numerator:

21/2 * 5/3 = 7/2 * 5/1 = 35/2. Take out the whole value, convert it to a decimal fraction and get: 17.5 cm.

The volume of such a figure corresponds to the formula:
V = a * b * c = 17.5 * 15 * 10.5 = 2756.25 cm³.



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