The length of the parallelepiped is 18 cm, the width is 5 cm less than the length and the height is 8

The length of the parallelepiped is 18 cm, the width is 5 cm less than the length and the height is 8 cm more than the width, find the volume of the parallelepiped.

The volume of a parallelepiped is equal to the product of the area of the base and the height:
V = SH = abc,
where a is the length of the parallelepiped,
b – the width of the parallelepiped,
с – the height of the parallelepiped.
It is known that
a = 18 cm
b = a – 5 = 18 – 5 = 13 cm
c = b + 8 = 13 + 8 = 21 cm
Now let’s substitute the values into the formula and calculate the volume:
V = 18 * 13 * 21 = 4914 (cm ^ 3) – the volume of the parallelepiped.
Answer: the volume of the parallelepiped is V = 4914 (cm ^ 3).