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