The width of the rectangular parallelepiped is 7.2 cm, which is 3/4 of the length and 4/5 of the height.

| September 1, 2021 | education

The width of the rectangular parallelepiped is 7.2 cm, which is 3/4 of the length and 4/5 of the height. Find the volume of the rectangular parallelepiped.

It is known that the width of a parallelepiped is 3/4 of its length and 4/5 of its height. Knowing the width, we can find the rest of the parameters:

1) 7.2: 3 * 4 = 9.6 (cm) – the length of the parallelepiped.

Find the height in the same way:

2) 7.2: 4 * 5 = 9 (cm) – the height of the parallelepiped.

The volume of a parallelepiped, according to the formula, is equal to the product of its three parameters: length, height and width. Knowing all three parameters, we can find the volume:

3) 7.2 * 9.6 * 9 = 622.08 (cm3) – the volume of the parallelepiped.

Now you need to round the result to tenths. Since there is 8 in the hundredth place, the tenths increase by 1:

622.08 = 622.1 (cm3).

Answer: the volume of the parallelepiped is 622.1 cm3.



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