In a straight parallelepiped, the sides of the base 6 m and 8 m form an angle of 30 degrees, the side edge
| September 20, 2021 | education
In a straight parallelepiped, the sides of the base 6 m and 8 m form an angle of 30 degrees, the side edge is 5 m. Find the complete surface of this parallelepipid.
At the base of the parallelepiped lies a parallelogram.
Determine the area of the base of the parallelepiped.
Sbn = AВ * AD * Sin30 = 6 * 8 * 1/2 = 24 cm2.
Determine the area of the lateral surface of the parallelepiped.
Sside = P * AA1, where P is the perimeter of the base. P = 2 * (AB + AD) = 2 * 14 = 28 cm.
Side = 28 * 5 = 140 cm2.
Determine the total surface area.
Sпов = 2 * Sсн + S side = 2 * 24 + 140 = 188 cm2.
Answer: The total surface area is 188 cm2.
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