# The length of the rectangular parallelepiped is 80 cm. Its width is 60% of the length and 40% of the height. Find the volume.

July 26, 2021 | education

| According to the condition of this task, it is necessary to find the volume of a rectangular parallelepiped, according to the formula:

V = a * b * c.

We only know its length, equal to 80 cm, and that the width is 60% of it and 40% of the height.

Having compiled the proportions, first of all, we will determine the unknown dimensions of this figure.

b = 60%.

80 cm = 100%.

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

b = 60 * 80: 100 = 4800: 100 = 48 cm.

c = 100%.

48 cm = 40%.

c = 48 * 100: 40 = 4800: 40 = 120 cm.

Substitute the obtained values into the formula and calculate the volume:

V = 80 * 48 * 120 = 460800 cm³.

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