The length of a rectangular parallelepiped is 45 cm, width is 3 times less than the length and the height is 2 cm more

| September 3, 2021 | education

The length of a rectangular parallelepiped is 45 cm, width is 3 times less than the length and the height is 2 cm more than the width, find the volume of this parallelepiped.

1. It is known that the volume of a rectangular parallelepiped is equal to the product of its length and width and height.

2. Find the width if it is known that it is 3 times less than the length, and the length is 45 centimeters.

45: 3 = 15 centimeters.

3. Determine the height of the parallelepiped if, according to the problem statement, it is 2 cm more than the width.

15 cm + 2 cm = 17 centimeters.

4. Based on the three dimensions found, we calculate the volume V of the parallelepiped.

V = 45 cm + 15 cm + 17 cm = 77 centimeters ^ 3.

Answer: The volume of a parallelepiped is 77 cubic centimeters.



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