Find the surface area and volume of a rectangular parallelepiped whose length is 12 cm, width 7.5 and height 10 cm.

The surface of a rectangular parallelepiped consists of 6 faces.

1. Calculate the perimeter of the base: (12 + 7, 5) * 2 = 19.5 * 2 = 39 cm.

2. We calculate the area of 4 lateral sides (we multiply the perimeter by the height): 39 * 10 = 390 cm2.

3. Calculate the area of the base: 12 * 7.5 = 90 cm2 and multiply by 2: 90 * 2 = 180 cm2.

4. Total area of the entire surface of the parallelepiped is: 390 + 180 = 570 cm2.

To find the volume, you can multiply the base area by the height, or simply multiply the length, width and height: 12 * 7.5 * 10 = 900 cm3.