The width of a rectangular parallelepiped is 4cm, which is 8/13 of its length, and its height is 40%
The width of a rectangular parallelepiped is 4cm, which is 8/13 of its length, and its height is 40% of its length. calculate the volume of the parallelepiped.
Let us find the length of a rectangular parallelepiped, provided that its width, equal to 4 cm, is its 8/13 share.
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.
4 * 13: 8 = 6.5 cm.
The height is 40% of the length. Let’s calculate it by making a proportion:
100% = 6.5 cm.
40% = x.
Let’s write the equation, acting according to the “cross” rule and find the value of the variable:
x = 40 * 6.5: 100 = 260: 100 = 2.6 cm.
The volume of such a figure corresponds to the formula:
V = a * b * c = 6.5 * 4 * 2.6 = 67.6 cm³.