How much is the volume of a parallelepiped with dimensions of 3 cm, 4 cm and 5 cm

How much is the volume of a parallelepiped with dimensions of 3 cm, 4 cm and 5 cm less than the volume of a cube with a long edge of 4 cm?

1) The volume of a parallelepiped (Vп) is found as the product of the length of its base (a) by the width (b) and the height (h):

Vp = a * b * h.

Let’s calculate the volume of a parallelepiped, in which a = 3 cm, b = 4 cm, h = 5 cm:

Vp = 3 * 4 * 5 = 60 cm ^ 3.

2) The volume of a cube (Vk) with an edge length a is equal to:

Vk = a * a * a = a ^ 3.

Let’s calculate the volume of a cube, in which a = 4 cm:

Vk = 4 ^ 3 = 64 cm ^ 3.

3) Find how much the volume of a given parallelepiped is less than the volume of a given cube:

64 – 60 = 4 cm ^ 3.

Answer: 4 cm ^ 3.