Calculate the area of the lateral surface of a rectangular parallelepiped, the base side

Calculate the area of the lateral surface of a rectangular parallelepiped, the base side of which is 5.2 cm, 75 mm, and the height is 40 mm.

To begin with, let’s translate the length of the side of the base, expressed in centimeters to millimeters.

5.2 cm * 10 = 52 mm.

Now we multiply one side of the base by the height of the parallelepiped and multiply by 2.

S1 = 52 mm * 40 mm * 2 = 4160 mm².

Then multiply the second side of the base by the height and 2.

S2 = 75 mm * 40 mm * 2 = 6000 mm².

We add the two calculated areas to get the lateral surface area.

S = 4160 mm² + 6000 mm² = 10160 mm².

Answer: the lateral surface area is 10160 mm².