# The height of the rectangular parallelepiped is 10 cm, the width is 4 cm, and the perimeter of the base is 20 cm. Find the volume.

July 22, 2021 | education

| Knowing the perimeter of the base and the width of the parallelepiped, we determine its length.

Since the parallelepiped is rectangular, then all its faces are rectangles, then

Ravsd = 2 * AB + 2 * BC.

20 = 2 * 4 + 2 * BC.

2 * BC = 20 – 8 = 12 cm.

BC = 12/2 = 6 cm.

Determine the area of the base of the parallelepiped.

Sbn = AB * BC = 4 * 6 = 24 cm2.

Let’s define the volume of the parallelepiped.

V = Sbn * АА1 = 24 * 10 = 240 cm3.

Answer: The volume is 240 cm3.

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