The prism is a polyhedron which two sides are equal polygons with respectively parallel parties, and other sides - parallelograms. It is rather simple to determine prism surface area.
Instruction
1. For a start define what figure is the prism basis. If in the basis of a prism the triangle lies, for example, then it is called triangular if a quadrangle - quadrangular, a pentagon - pentagonal, etc. As in a condition it is specified that the prism is rectangular, therefore, its bases are rectangles. The prism can be a straight line or an inclined plane. Since the tilt angle of side sides to the basis is not specified in a condition, it is possible to draw a conclusion that it is a straight line and side sides are also rectangles.
2. To find prism surface area, it is necessary to know its height and size of the parties of the basis. As the prism a straight line, its height coincides with a side edge.
3. Enter designations: AD = and; AV = b; AM = h; S1 is the area of the bases of a prism, S2 Square of its side surface, S is the total area of a surface of a prism.
4. The basis - a rectangle. The area of a rectangle is defined as the work of lengths of its parties ab. The prism has two equal reasons. Therefore, their total area is equal: S1 = 2ab
5. The prism has 4 side sides, all of them are rectangles. The party of AD of a side of ADHE at the same time is the party of the basis of ABCD and equals and. The party of AE is an edge of a prism and h equals. The area of a side of AEHD equals ah. As the side of AEHD is equal to BFGC side, their total area: 2ah.
6. The side of AEFB has an edge of AE which is the party of the basis and b equals. Other edge is height of a prism and h equals. The area of a side is equal to bh. The side of AEFB is equal to DHGC side. Their total area is equal: 2bh.
7. Area of all side surface of a prism: S2 = 2ah+2bh.
8. Thus, the surface area of a prism equals to the sum of the areas of two bases and four of its side sides: 2ab + 2ah + 2bh or 2 (ab + ah + bh). The task is solved.