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Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid

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The area of a shape is defined as the number of square units that cover a closed figure. For most of the shape that we will be dealing with there is a formula for calculating the area. Area of a Rectangle b A = bh b = the base of the rectangle h = the height of the rectangle h Area of a Parallelogram b A = bh b = the base of the rectangle h = the height of the rectangle Area of a Trapezoid A = ½ (b1+ b2 )h b1 = the one base of the trapezoid b2 = the other base of the trapezoid h = the height of the trapezoid Area of a Triangle A = 1 / 2 bh b = the base of the triangle h = the height of the triangle Area of a Triangle Heron’s Formula for a triangle with only sides A = √{s (s -a )(s -b )(s -c )} a = one side of the triangle b = another side of the triangle c = the third side of the triangle

Surface Area of a Rectangular Solid (Box) SA = 2(lw +lh +wh ) l = length of the base of the solid w = width of the base of the solid h = height of the solid

Volume Volume of a Solid with a Matching Base and Top V =Ah A= area of the base of the solid h = height of the solid Volume of a Rectangular Solid (specific type of solid with matching base and top) V = lwh l = length of the base of the solid w = width of the base of the solid h = height of the solid

A cylinder is an object with straight sides and circular ends of the same size. The volume of a cylinder can be found in the same way you find the volume of a solid with a matching base and top. Volume of a Cylinder V =Ah Or V =  r 2 h A = the area of the base of the cylinder h = the height of the cylinder

The surface area of a cylinder can be easily found when you realize that you have to find the area of the circular base and top and add that to the area of the sides. If you slice the side of the cylinder in a straight line from top to bottom and open it up, you will see that it makes a rectangle. The base of the rectangle is the circumference of the circular base, and the height of the rectangle is the height of the cylinder. Surface Area of a Cylinder SA = 2(  r 2 ) + 2  rh r = the radius of the circular base of the cylinder h = the height of the cylinder π = the number that is approximated by

Volume of a Cone V = 1 / 3  r 2 h r = radius of the base of the cone h= height of the cone

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