The volume of a rectangular parallelepiped is 60 cubic cm, its length is 5 cm, and its height is 3 cm.

The volume of a rectangular parallelepiped is 60 cubic cm, its length is 5 cm, and its height is 3 cm. Find the volume of a rectangular parallelepiped if its width is reduced by 2 cm?

1. Let’s denote the length of the parallelepiped by the letter A, the width by the letter B, the height H and the volume by the letter V. First, we will find the width of the original parallelepiped:

B = V / (A x H);

B = 60 / (5 x 3);

B = 4 (cm).

2. Calculate the width of the new parallelepiped:

B1 = 4 – 2 = 2 (cm).

3. Now you can calculate the volume of the new parallelepiped:

V1 = A x B1 x H;

V1 = 5 x 2 x 3;

V1 = 30 (cm³).

Answer: the volume of the new parallelepiped is 30 cm³.