SHAPES, FORMULAS, AND PROPERTIES

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SHAPES, FORMULAS, AND PROPERTIES by Mind Map: 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. RECTANGLES

2.1. PERIMETER: P = 2a + 2b

2.2. AREA: A= ab

2.3. RECTANGULAR BOX

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

2.3.2. VOLUME: V= abc

2.4. RECTANGULAR PYRAMID

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

3. CIRCLES

3.1. PERIMETER: P=2(π)r

3.2. AREA: A=(π)r^2

3.3. SPHERE

3.3.1. SURFACE AREA: SA= 4(π)r^2

3.3.2. VOLUME: V = (4(π) r^3)/ 3

3.4. CYLINDER

3.4.1. SURFACE AREA: SA = 2πr(r + h)

3.4.2. VOLUME: πr^2h

4. TRIANGLES

4.1. PERIMETER: P=a+b+c

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

4.3. PYTHAGOREAN THEOREM (RIGHT TRIANGLES ONLY)

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

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

4.4. RIGHT CIRCULAR CONE

4.4.1. SURFACE AREA: SA= 2πr(h + r)

4.4.2. VOLUME: V=(1/3)πr^2h

4.5. FRUSTUM OF A CONE

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

5. PARALLELOGRAM

5.1. PERIMETER: P = 2a + 2b

5.2. AREA: A=bh

6. TRAPEZOID

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

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

7. THINGS TO REMEMBER!!

7.1. π =3.14 159

7.2. VOLUME= CUBIC UNITS

7.3. AREA = SQUARED UNITS

7.4. SURFACE AREA= SQUARED UNITS

7.5. PERIMETER: JUST UNITS

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