SHAPES, FORMULAS, AND PROPERTIES

1. SQUARES

1.1. PERIMETER: 4s

1.2. AREA: s^2

1.3. CUBE

1.3.1. SURFACE AREA: 6l^2

1.3.2. VOLUME: V = l^3

2. TRIANGLES

2.1. PERIMETER: P=a+b+c

2.2. AREA: A=(1/2)bh

2.3. PYTHAGOREAN THEOREM (RIGHT TRIANGLES ONLY)

2.3.1. a^2 + b^2 = c^2

2.3.2. c = sqrt(a^2 + b^2)

2.4. RIGHT CIRCULAR CONE

2.4.1. SURFACE AREA: SA= 2πr(h + r)

2.4.2. VOLUME: V=(1/3)πr^2h

2.5. FRUSTUM OF A CONE

2.5.1. VOLUME: (1/3) πh(r^2 + rR + R^2)

3. TRAPEZOID

3.1. PERIMETER: P = a + b + c + d

3.2. AREA: A = (h) (a + b)/2

4. THINGS TO REMEMBER!!

4.1. π =3.14 159

4.2. VOLUME= CUBIC UNITS

4.3. AREA = SQUARED UNITS

4.4. SURFACE AREA= SQUARED UNITS

4.5. PERIMETER: JUST UNITS

5. FORMULA WORKSHEET: CLICK ARROW OR URL (SCROLL TO BOTTOM OF PAGE) http://geometrytech301.weebly.com/resources.html

6. RECTANGLES

6.1. PERIMETER: P = 2a + 2b

6.2. AREA: A= ab

6.3. RECTANGULAR BOX

6.3.1. SURFACE AREA: SA= 2ab + 2ac + 2bc

6.3.2. VOLUME: V= abc

6.4. RECTANGULAR PYRAMID

6.4.1. VOLUME: V = (1/3) lwh

7. CIRCLES

7.1. PERIMETER: P=2(π)r

7.2. AREA: A=(π)r^2

7.3. SPHERE

7.3.1. SURFACE AREA: SA= 4(π)r^2

7.3.2. VOLUME: V = (4(π) r^3)/ 3

7.4. CYLINDER

7.4.1. SURFACE AREA: SA = 2πr(r + h)

7.4.2. VOLUME: πr^2h

8. PARALLELOGRAM

8.1. PERIMETER: P = 2a + 2b

8.2. AREA: A=bh