# The length of a rectangular parallelepiped is 24 cm, width is 6 times less than its length, and its height is 16 cm

August 28, 2021 | education

| **The length of a rectangular parallelepiped is 24 cm, width is 6 times less than its length, and its height is 16 cm more than its width. calculate the volume of the parallelepiped.**

1. It is known that the volume of a parallelepiped is equal to the product of its three dimensions – length, width and height.

2. Find the value of the width if, according to the problem statement, it is 6 times less than the length, which is 24 cm.

24 cm: 6 = 4 cm.

3. Let’s calculate what the height is equal to, which is 16 cm more than the resulting width.

4 cm + 16 cm = 20 cm.

4. Now you can calculate the volume V of the rectangular parallelepiped.

V = 24 cm * 4 cm * 20 cm = 1920 cm³.

Answer: The volume is 1920 cm³

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