You will need

- Line formulas for finding the areas of polygons

Instruction

1

To calculate

**the area****of a surface**of a prism, find**the area**of one of the bases. Use the formula depending on what geometric figure (polygon). Then, find all the side of the base and folded them, will receive its perimeter. Multiplying the perimeter length of one of the side edges (they are equal), calculate**the area of the**lateral**surface**. The area**of the surface**of the prism is equal to the sum of the area of the lateral**surface**and twice the area of the base (because two of them) S=SB+2•In.2

Calculate the area of

**the surface of a**random pyramid is produced by adding up the area of the base and each face. To the right of the pyramid (when it is based on a regular polygon, and the vertex is projected onto the intersection of its diagonals), you can use a special formula.3

Find

**the area**and perimeter of the base of a regular pyramid. Calculate**the area of the**lateral**surface**by multiplying half of the perimeter of the apofema side edge (the height) S= 0,5•P• a. The apofema look like the height of an isosceles triangle, which is the side face of the regular pyramid. Fold the**square**base and the lateral**surface**and get**the area of the**full**surface**.4

To find

**the area of the**full**surface**of circular cylinder, find the sum of its radius and height, which is a segment that connects the centers of the circles which are the bases of the cylinder, and the result is multiply by the radius and number of 6.28, S=6,28•r•(r+h).5

The area

**of the surface**of a circular cone, find the radius using base and forming. For this amount, radius and generatrix (the segment that joins the vertex of a cone with an arbitrary point of the circular base), multiply by the radius and the number 3,14, . S=3,14•r•(r+l).6

To find the area

**of the surface**of the sphere, find its radius. Then**the area**will be equal to the product of the square of the radius by the number of 12.56 S=12,56•r2.