Question

For a right prism whose base is a triangle with sides 5, 12 and 13, and whose height is 20. Find the Lateral Area, Total Area and Volume

Answer 1

Lateral area is the surface area excluding the base and the top.

This is the sum of the areas of the three rectangles that make up its sides.

20(5+12+13)=600 square units.

Total surface area=above area plus the areas of the triangular ends. These ends have the same area=½(12)(5)=30 square units, total of 60 square units, added to the lateral area: 600+60=660 square units.

Volume=base area times height=30×20=600 cubic units.