Any prism represents a polyhedron which bases are in the parallel planes, and side sides are parallelograms. Height of a prism is the piece connecting both bases and perpendicular to each of them.
Instruction
1. If you deal with an inclined prism, then its height can be found, knowing the volume (V) this prism and the area of its basis (S osn.). Proceeding from a volume formula (V = S osn. x h), height of a prism can be found, having divided volume into the area of the basis. Thus, if the volume of your prism – 42 cubic centimeters, and the area of its basis – 7 centimeters square, then its height is equal to 42: 7 = 6 cm.
2. If on a condition you were given a direct prism, then search of its height is a little facilitated. As in a direct prism the side edges are perpendicular to the bases, length of each of these edges is equal to prism height. Length of a side edge (and, therefore, height) can be found, knowing the area of a side surface (S a side.) and basis perimeter (P osn.) prisms. That the area of a side surface of a direct prism is equal to the basis perimeter increased by length of a side edge the side edge can be found on formula S a side.: P osn. So, if the area of a side surface of this direct prism – 36 square centimeters, and perimeter of its basis – 12 cm, then her side edge (and height) is equal to 36: 12 = 3 cm.
3. If in a condition it is told that the prism given you – correct, it means that its bases represent regular polygons, and side edges are perpendicular to them. That is before you a special case of a direct prism therefore its height is also equal to length of any side edge.