Find the total surface area of a rectangular parallelepiped if the side of its base is 4 cm, the area
| August 7, 2021 | education
Find the total surface area of a rectangular parallelepiped if the side of its base is 4 cm, the area of the base is 24 cm ^ 2, and the volume is 198 cm ^ 2
Knowing the volume of the parallelepiped and the area of its base, we determine the height of the parallelepiped.
V = Sosn * AA1.
АА1 = V / Sсн = 198/24 = 8.25 cm.
Determine the area of the lateral surface of the parallelepiped.
Sside = Ravsd * AA1 = (4 + 4 + 4 + 4) * 8.25 = 132 cm2.
Determine the total surface area of the parallelepiped.
Sпов = 2 * Sсн + S side = 2 * 24 + 132 = 180 cm2.
Answer: The total surface area is 180 cm2.
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