# In a straight parallelepiped, the sides of the base 6 m and 8 m form an angle of 30 degrees, the side edge

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. 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.