This type of problem involves the use of several formulas. If the prism is neither rectangular nor hexagonal, we must use formulas involving sine and cosine to get the area of the base and the length of one side of the base. If rectangular, we can use length x width for areas of rectangular sides and bases. If hexagonal, we have that the radius and length of a side of the base are the same and the area of the base is given by . In any case, the base area is used to get the volume when we multiply it by the prism's height. The side of the base is used to get the perimeter which is then used to get lateral area, LA = h x P, where h is the height of the prism. Since sine and cosine are sometimes used, it is important to have your calculator set for either radians or degrees depending on your given information. Usually calculations can left in the degree MODE since our basic formulas involve 180/n where 180 is in degrees. It is difficult to check these answers for reasonableness and therefore very important to double check all arithmetic carefully.
