The length of a rectangular parallelepiped is 3/4, width is 4/9 dm, and the height

| July 23, 2021 | education

The length of a rectangular parallelepiped is 3/4, width is 4/9 dm, and the height is 1/3 dm less than the width. What is the volume of a parallelepiped?

1) Let’s write the formula for calculating the area of ​​a square:

S = a * a = a ^ 2.

By the condition of the problem, the length of the side of the square is 5/9 dm, we find its area:

S = (5/9) 2 = 25/81 (dm2).

Answer: The area of ​​the square is 25/81 dm2.

2) Find the height of the parallelepiped, taking into account that it is 1/3 dm less than its width:

4/9 – 1/3 = 1 * 4/9 – 3 * 1/3 = 4/9 – 3/9 = 1/9 (dm).

Let’s write the formula for calculating the volume of a rectangular parallelepiped:

V = abс.

Substituting the length, width and height values ​​into the formula, we determine the volume of the parallelepiped:

V = 3/4 * 4/9 * 1/9 = 12/324 = 1/27 (dm3).

Answer: The volume of a rectangular parallelepiped is 1/27 dm3.



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