The rectangular parallelepiped is circumscribed about a cylinder whose height is 8 and the radius is 3
| May 23, 2021 | education
The rectangular parallelepiped is circumscribed about a cylinder whose height is 8 and the radius is 3. Find the surface area of the rectangular parallelepiped.
The base of the parallelepiped described about the cylinder is a square, the side of which is equal to the diameter of the circle at the base of the cylinder, and the side faces are equal-sized rectangles.
The height of the parallelepiped is equal to the height of the cylinder.
AD = 2 * R = 2 * 3 = 6 cm.
Sbn = АD ^ 2 = 36 cm2.
Sgr = AD * AA1 = 6 * 8 = 48 cm2.
Then Sпов = 2 * Sсн + 4 * Sгр = 72 + 192 = 264 cm2.
Answer: The area of a parallelepiped is 264 cm2.
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