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.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
