The height of a rectangular parallelepiped is 18 cm. What will be the height if, with an Unchanged volume

| August 10, 2021 | education

The height of a rectangular parallelepiped is 18 cm. What will be the height if, with an Unchanged volume, the area of the parallelepiped’s base: 1. increase by 9 times; 2. Reduce by 5 times?

Let us denote the area of the base of the rectangular parallelepiped as s, then at a height of 18 cm its volume will be equal to 18 cm * s.

1) If you increase the area by 9 times, then it will be equal to 9 * s. We write the new value of the height as x, then the volume will be x * 9 * s. Since the volumes are equal, we write down the equation.

x * 9 * s = 18 cm * s.

x = 18 cm * s ÷ 9 ÷ s.

x = 2 cm.

2) If we reduce the area by 5 times, then the volume will be equal to x * s ÷ 5. Then.

x * s ÷ 5 = 18 cm * s.

x = 18 cm * s ÷ s * 5.

x = 90 cm.

Answer: 1) 2 cm, 2) 90 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.