# The sides of the base of the rectangular parallelepiped are 12 cm and 6 cm, and the height is 75% of the large side

**The sides of the base of the rectangular parallelepiped are 12 cm and 6 cm, and the height is 75% of the large side of the base. Calculate the volume and area of the full surface of the parallelepiped.**

Find the area of the base of the parallelepiped.

We multiply the length by the width.

12 * 6 = 72 cm2

Since there are 2 such sides, then their total area will be equal to:

72 * 2 = 144 cm2

The height of the rectangular parallelepiped will be:

12 * 75% = 12 * 0.75 = 9 cm.

This means that the area of the two lateral sides will be:

2 * 12 * 9 = 24 * 9 = 216 cm2

The area of the two remaining sides will be equal to:

2 * 9 * 6 = 18 * 6 = 108 cm2

The total surface area will be equal to the sum of the areas of all sides.

144 + 216 + 108 = 468 cm2

Volume:

12 * 6 * 9 = 648 cm3

Answer:

Surface area 468 cm2, volume 648 cm3