2. Formulas of Geometric Shapes ZACHARY SWANGER MATHEMATICS GRADES 5-8

3. Main Menu Circle Rectangle Triangle After you have read about all of the shapes, click on “quiz” to take the quiz. Cylinder Square Cube Right Triangle  Click on a shape or the words for more info about that shape Sphere Take the quiz here

4. The Circle  The circle is unique because it has zero sides  The area formula for a circle is A = (3.14)r^2  The circumference for a circle is C = 2(3.14)r r = radius

5. The Triangle  The triangle has three sides  The area of a triangle is A = (1/2)b x h  The perimeter for a triangle is P = s + s + s b = base h = height s = side

6. The Right Triangle  Like the triangle, the right triangle has three sides  Skills that are used a lot having to deal with right triangles are sine, cosine, and tangent  The Pythagorean theorem is A^2 + B^2 = C^2 a = side b = side c = hypotenuse

7. The Rectangle  The rectangle has four sides  The area of a rectangle is A = l x w  The perimeter of a rectangle is P = 2(l x w) l = length w = width

8. The Square  Like the rectangle, the square also has four sides  The area of a square is A = s^2  The perimeter formula for a square is P = s x 4 s = side

9. The Cube  The cube has many sides; 6 to be exact!  The surface area of a cub is SA = 6s^2  The volume of a cube is V = s^3 s = side

10. The Cylinder  The cylinder may loo like it has sides, but it actually falls in line with the circle and sphere  The volume of a cylinder is V = (3.14)r^2h  The area of a cylinder is A = 2(3.14)r^2 + h(6.28r) r = radius h = height

11. The Sphere  The sphere is unique like the circle as in it has no sides, but it also a three dimensional object  The Surface Area of a Sphere is SA= 4(3.14)r^2  The volume of a sphere is V = 4/3(3.14)r^3 r = radius

12. What shape does this formula apply to: Area = (1/2)base x height  A. Rectangle A. Rectangle  B. Triangle B. Triangle  C. Square C. Square

13. Sorry, your answer is incorrect.  The answer to the question is not a rectangle. The area for a rectangle is: Area = Length x Width

14. Correct!  Good job! Your answer is correct! The area formula for a triangle is: Area = (1/2) base x height

15. Sorry, your answer is incorrect.  The answer to the question is not a square. The area for a square is: Area = (side)^2

16. Congratulations!  You have passed the lesson with flying colors! Please click on the arrow at the bottom of the screen for the next user.