Calculate the volume of a parallelepiped if its base area is 150 cm / 2 and its height is -2 dm.

As we know, the volume of a parallelepiped is calculated by the formula:

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

We have neither the length of the parallelepiped, nor its width, but we are given the area of ​​its lower edge, and this is nothing more than the product of the length of the parallelepiped by its width – a ⋅ b. But before we calculate the volume, let’s pay attention to the fact that the height of the parallelepiped is given in decimetres, and the area of ​​the base is in square centimeters, so we will translate the height into centimeters: c = 2 ⋅ 10 = 20 (cm).

Now we can safely find the volume of the parallelepiped:

V = 20 ⋅ 150 = 3000 (cm3).