The width of the rectangular parallelepiped is 3 3/4 cm, its length is 5 1/3

| April 14, 2021 | education

The width of the rectangular parallelepiped is 3 3/4 cm, its length is 5 1/3 times its width, and its height is 80% of the length. Calculate the volume.

Let’s find the length of the given rectangular parallelepiped.

According to the condition of the problem, the width of this rectangular parallelepiped is 3 3/4 cm, and its length is 5 1/3 times its width, therefore, the length of this rectangular parallelepiped is:

(15/4) * (16/3) = 15 * 16 / (3 * 4) = 5 * 4 = 20 cm.

Find the height of this rectangular parallelepiped.

According to the condition of the problem, the height of this parallelepiped is 80% of its length, therefore, the height of this rectangular parallelepiped is:

20 * (80/100) = 20 * (8/10) = 16 cm.

Find the volume V of a given rectangular parallelepiped:

V = 15/4 * 20 * 16 = 15 * 5 * 16 = 1200 cm³.

Answer: the volume of this rectangular parallelepiped is 1200 cm³.



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