Prisms (Additional Problems)

Lateral Surface Area, Total Surface Area, and Volume of Prisms
#1: 00:00 - A solid cylinder of radius 10” is inscribed in a prism with equilateral triangular bases. Find the volume of the portion of the prism that is outside the cylinder if their common height is 100 inches.
#2: 08:50 - A container in the form of a triangular prism as shown in the figure below contains water at a depth of 6 inches. Find the volume of water.
#3: 11:52 - Find the height of a prism with a base in the form of a sector with a central angle equal to 25 degrees. Its volume is found to be 350 in3 and the height is four times the radius of the base.
#4 16:18 - One edge of an oblique prism forms an angle of 30 degrees with its projection on the plane of one base. If the lateral edge is 15 cm long and the base area is 20 cm2, find the volume of the prism.
For the engineering board exam:
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