Calculate the volume of the side surface of a rectangular parallelepiped using three values 7cm, 4cm and 3cm.

Since the parallelepiped is rectangular, all of its side faces are rectangles.

Let’s define the perimeter of the rectangle ABCD.

Ravsd = 2 * (AB + AD) = 2 * (3 + 7) = 2 * 10 = 20 cm.

Then S side = Ravsd * AA1 = 20 * 4 = 80 cm2.

The base area will be equal to: Sbn = AB * AD = 3 * 7 = 21 cm2.

Then Sпов = Sbok + 2 * Sсн = 80 + 2 * 21 = 122 cm2.

Knowing all three dimensions of a parallelogram, we determine its volume.

Vparal = AB * AD * AA1 = 3 * 7 * 4 = 84 cm3.

Answer: The surface area is 122 cm2, the volume is 84 cm3.



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