The height of the parallelepiped is 26 cm, the length is 7 cm more than the height and the width is 9 cm

| May 8, 2021 | education

The height of the parallelepiped is 26 cm, the length is 7 cm more than the height and the width is 9 cm less than the length, find the volume of the parallelepiped.

The formula for the volume of a parallelepiped is written as follows:

V = a * b * c, where V is the volume of the rectangular parallelepiped, a is the length, b is the width, c is the height.

Let’s calculate the missing values.

The height is 26 (cm), while the length is 7 (cm) more, therefore, the length value will be: 26 (cm) + 7 (cm) = 33 (cm).

Moreover, the width is 9 (cm) less than the length, which means: 33 (cm) – 9 (cm) = 24 (cm).
Substitute the values into the formula, namely, a = 33 (cm), b = 24 (cm) and c = 26 (cm) and we get: V = 33 (cm) * 24 (cm) * 26 (cm) = 20592 ( cm3).

Answer: The volume of a parallelepiped is 20,592 cubic centimeters.



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