The volume of the parallelepiped is 64 cm in a cube, width 4 cm, height 2 cm. The length of the parallelepiped has been reduced

The volume of the parallelepiped is 64 cm in a cube, width 4 cm, height 2 cm. The length of the parallelepiped has been reduced by 3 cm. Determine the volume of the resulting parallelepiped.

1. The volume of a rectangular parallelepiped is equal to the product of its sides V = a * b * c, if it is necessary to find one of the sides, it is necessary to divide the volume by the product of two known sides.

c = V / (a * b) = 64 / (4 * 2) = 64/8 = 8 cm.

2. Reduce the length of the found side by 3 cm.

c = 8 – 3 = 5 cm.

3. Find the new volume of the rectangular parallelepiped.

V = 4 * 2 * 5 = 8 * 5 = 40 cm cubed.

Answer: The volume of the parallelepiped after reducing the side by 3 cm will be equal to 40 cm3.