# The length of the rectangular parallelepiped is 80 cm, its width is 3/5 of the length and 40% of the height. find the volume.

July 22, 2021 | education

| The volume of a rectangular parallelepiped is: V = a * b * c, where a is the length, b is the width, and c is the height. Then, by the condition of the problem, a = 80 cm. Find the width. We know that b = (3/5) * a.

Hence b = (3/5) * 80 = 48 (cm) – width.

We are told that the width is 40% of the height. Then

48 – 40%

s – 100%

From the proportion, the height c is equal to: c = (48 * 100) / 40 = 120 (cm)

Then the volume V = 80 * 48 * 120 = 460800 (cm ^ 3)

Answer: 460800 cm ^ 3.

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