2. ShapeArea Square Length Squared. RectangleLength times width. TriangleBase times height divided by two. ParallelogramBase times height. TrapezoidHalf of, base one plus base two, times the height. KiteHalf of, diagonal one times diagonal two. RhombusHalf of, diagonal one times diagonal two.

3. ShapeFormula SquareL2L2 RectangleLW TriangleBH 2 ParallelogramBH Trapezoid½ (b1+b2)H Kite½ (d1*d2) Rhombus½ (d1*d2)

5.  A composite figure is a shape made up of more than one figure.  To find the area of such figure, you need to break it down into pieces and find the area of the broken down shapes.  After this, you need to add the areas you have found.

7.  The formula for the area of a circle is πr 2.  Or π(d/2) 2  Pi is an irrational number most of the time stated as 3.14

9.  A solid is any three dimensional figure (Height width and depth)  It has sides, edges, faces and corners.  Its perimeter is called surface area and its area is called volume.

11.  A prism is a three dimensional shape with two of its bases being congruent figures.  This congruent shapes are connected by parallel lines  The surface area of a prism is the twice the base area of one of the congruent bases plus the lateral area (Length times width of the sides)  A net is a diagram of all of the faces of a prism on the same plane.

13.  A cylinder is made up of two circles connected by a round surface.  To find its surface area you find the area of both of the circles and then of the lateral surface.  The formula to find the surface area of a cylinder is 2 π r 2 + 2 π rh

15.  A pyramid is formed by a shape as a base and triangular faces that meet at a common end point at the top.  To find its surface area, you have to first find the area of the base, then find the area of the sides which are all triangles and add them all up.  The formula to find the surface area of such is: L+B

17.  A cone is a three dimensional figure formed by a circular base with its lateral face being curved and ending at a common vertex.  To find its surface area you have to find the area of the circle base and then add the lateral surface area  The lateral surface area is found by multiplying the slant height squared by pi.

19.  To find the volume of a cube you multiply length times width time the height of the cube.  The formula is L 3

21.  Cavalieri’s principle states that if on two three dimensional shapes the surface area of the base is the same and the cross sectional area is the same (this including the same height) then the two shapes have the same volume.

22. Assuming they both have the same surface area and exactly the same cross sectional area they have the same volume (drawing not to scale)

23.  The volume of a prism is simple, it’s the area of the base times its height.  The formula is V= BH

25.  The volume of a cylinder is also quite simple, you find the area of the base times its height also.  The area of the base is the area of the circle at the bottom.

27.  The volume of a pyramid is the same as both past ones just that this one is divided by three.  It is the area of the base, times the height and all of it divided by three (or multiplied by one third)

29.  The volume of a cone is the same of that of a pyramid only that the cone has a circular base.  So the volume is found by multiplying the area of the base, times the height divided by three (Or multiplied by one third)

31.  The surface area of a sphere is found by multiplying four by pi squared.  The formula is 4πr 2

33.  The volume of the sphere is simple, you have to multiply four thirds by three, and then by pi cubed.  The formula is 4/3πr 3