ALGEBRA: 3-D & 2-D Shapes

calculator
Introduction:  3-D Shapes: Calculates Volume & Surface Area for, Cube, Box, Pyramid, Cylinder, Sphere, Cone. 2-D figures:Calculates Area & Parameter for , Trapezoid, Circle, Triangle, Parallelogram, Rectangle, Rhombus. This program AAMath was written by Lars Webb [Primal_Fusion@hotmail.com] and modified by [navyfalcon].


 Box  Pyramid  Cylinder  Sphere  Cone  Figure
 LWH  ABH/3  πR²H  4/3πR³  A*H/3  Volume
 2(AB+BC+AC)    2πR(R+H)  4πR²  A+πRS  Surface Area

Spherical
Sector		 Spherical
Cone		 Sphere 1 base
segment		 Sphere 2 base
segment		 Topless
Cone		 Topless
Pyramid		 Figure
(2/3)π*r²*h π/2[r(4h+s)] (π/3)h²(3R-h) (π/6)h(3a²+3b²+h²) 4/3πR³ h/3(A1+A2+√(A1A2)) Volume
 π/2[r(4h+s)] πR(2h+r) 2πRh 2πRh π(R1+R2)√([R1-R2] ²+h²) s(P1+P2)/2 Surface Area

Triangle Rectangle Rhombus Parallelogram Trapezoid Figure
 1/2 c*h  a*b  a*h  b*h  m*h  Area
 
 
Related Articles:- Figure   APlus   AreaVol
 
Outline:
  Line 1. Clear
  Line 2 - 7. Instructions
  Line 19. Lbl CU - Cube
  Line 29. Lbl BO - Box
  Line 34. Lbl PY - Pyramid
  Line 45. Lbl CY - Cylinder
  Line 51. Lbl SP - Sphere
  Line 56. Lbl CO - Cone
  Line 64. Lbl SS - Sphere Sector
  Line 69. Lbl SC - Spherical Cone
  Line 75. Lbl 1S - 1 Base Sphere Segment
  Line 75. Lbl 2S - 2 Base Sphere Segment
  Line 81. Lbl TC - Topless Cone
  Line 96. Lbl TP - Topless Pyramid
    Reference Commands
    Reference Screenshots
    Reference Links
 
  Line 116. Lbl 2A - Right Tri
  Line 125. Lbl 2B - Equal Tri
  Line 129. Lbl 2C - Triangle
  Line 135. Lbl 2D - Diagnol Prep
  Line 140. Lbl 2E - Rectangle
  Line 145. Lbl 2F - Rhombus
  Line 150. Lbl 2G - Trapezoid
  Line 153. Lbl 2H - Quad
  Line 160. Lbl 2I - Polygon
  Line 165. Lbl 2J - Circle

AAMath

Line  Command or Statement  Comments
   1. "VOLUME= ->Str1 
   2. "SURFACE AREA= ->Str2 
   3. "LENGTH= ->Str3 
   4. "WIDTH= ->Str4 
   5. "HEIGHT= ->Str5 
   6. "RADIUS= ->Str6 
   7. "AREA= ->Str7 
   8.  "PERIMETER= ->Str8 
   9.  Lbl Z 
 10.  ClrHome 
 11.  Menu("MATH PROG","3-D",1,"2-D",2,"QUIT",4 
 12.  Lbl 4 
 13.  ClrHome 
 14.  Stop 
 15.  Lbl 1 
 16.  Menu("3-D","CUBE",CU,"BOX",BO,"PYRAMID",PY, 
  "CYLINDER",CY,"SPHERE",SP,"CONE",CO,"MORE",5 
 17.  Lbl 5 
 18.  Menu("MORE 3-D","SPHERICAL SECTOR",SS, 
   "SPHERICAL CONE",SC, 
   "2 BASE SEGMENT OF SPHERE",2S,"TOPLESS CONE",TC, 
   "PRISM",PR, "TOPLESS PYRAMID",TP,"BACK",Z 
 19.  Lbl CU CUBE
 20.  Input "SIDE LENGTH=",S 
 21.  S³->Z VOLUME
 22.  6S²->X SURFACE AREA
 23.  Lbl V:Fix 3
 24.  Disp Str1,Z Disp VOLUME
 25.  Disp Str2 Disp SURFACE AREA
 26.  Pause X 
 27.  DelVar ZDelVar X:ClrHome:Float 
 28.  Goto Z 
 29.  Lbl BO BOX
 30.  Input Str3,A:Input Str4,B:Input Str5,C 
 31.  ABC->Z VOLUME
 32.  2(AB+BC+AC)->X SURFACE AREA
 33.  Goto V 
 34.  Lbl PY PYRAMID
 35.  Input Str3,A 
 36.  Input Str4,B 
 37.  Input Str5,H 
 38.  ABH/3->Z VOLUME
 39.  √(A²+B²)->C 
 40.  √((.5C)²+H²)->D 
 41.  √((D²-(.5A)²)->E 
 42.  √((D²-(.5B)²)->F 
 43.  EH+FH+AB->X SURFACE AREA
 44.  Goto V 
 45.  Lbl CY CYLINDER
 46.  Input Str6,R 
 47.  Input Str5,H 
 48.  πR²H->Z VOLUME
 49.  2πR(R+H)->X SURFACE AREA
 50.  Goto V 
 51.  Lbl SP  SPHERE
 52.  Input Str6,R 
 53.  (4/3)(πR³)->Z VOLUME
 54.  4πR²->X SURFACE AREA
 55.  Goto V 
 56.  Lbl CO CONE
 57.  Input Str6,R 
 58.  πR²->A 
 59.  Input Str5,H 
 60.  AH/3->Z VOLUME
 61.  π(H²+R²)->S 
 62.  A+πRS->X SURFACE AREA
 63.  Goto V 
 64.  Lbl SS SPHERICAL SECTOR
 65.  Input Str6,R 
 66.  Input Str5,H 
 67.  (πR²H)(2/3)->Z VOLUME
 68.  Goto V 
 69.  Lbl 1H 1 BASE SEGMENT OF SPHERE
 70.  Input Str6,R 
 71.  Input Str5,H 
 72.  (πH²(3R-H))/3->Z VOLUME
 73.  2πRH->X SURFACE AREA
 74.  Goto V 
 75.  Lbl 2S 2 BASE SEGMENT OF SPHERE
 76.  Prompt A,B,H 
 77.  (πH(3A²+3B²+H²))/6->Z VOLUME
 78.  Input Str6,R 
 79.  2πRH->X SURFACE AREA
 80.  Goto V 
 81.  Lbl TC TOPLESS CONE
 82.  Input Str6 "1=",R 
 83.  Input Str6 "2=",A 
 84.  Input Str5,H 
 85.  (H/3)((πR²)²+(πA²)²+√((πR²)(πA²)->Z VOLUME
 86.  π(R²+A²+(R+A)√(R-A)²+H))->X SURFACE AREA
 87.  Goto V 
 88.  Lbl 1K PRISM
 89.  Input "AREA OF BASE=",B  
 90.  Input "ALTITUDE=",A 
 91.  AB->Z VOLUME
 92.  Input "NUMBER OF SIDES=",N 
 93.  Input "AREA OF SIDE=",S 
 94.  2B+SN->X SURFACE AREA
 95.  Goto V 
 96.  Lbl TP TOPLESS PYRAMID
 97.  Input "BASE 1" Str3,A 
 98.  Input "BASE 1" Str4,B 
 99.  Input "BASE 2" Str3,C 
 100.  Input "BASE 2" Str4,D 
 101.  Input Str5,H 
 105.  (2(A+C)H/2)+(2(B+D)H/2)+AB+CD->X SURFACE AREA
 108.  (H/3)(AB+CD+√(ABCD)->Z VOLUME
 109.  Goto V 
 110.  Lbl 2 
 111.  Menu("2-D","RIGHT TRI",2A,"EQUAL TRI",2B, 
   "TRIANGLE",2C,"DIAGNOL PERP",2D, 
   "RECTANGLE",2E,"RHOMBUS",2F,"MORE",7 
 112.  Lbl 7 
 113.  Menu("MORE 2-D","TRAPEZIOD",2G,"QUAD",2H, 
 .  "POLYGON",2I,"CIRCLE",2J,"BACK",8 
 114.  Lbl 8 
 115.  Goto Z 
 116.    Lbl 2A RIGHT TRI
 117.  Prompt A,B 
 118.  (AB)/2->Z 
 119.  Lbl A 
 120.  Disp Str7,Z 
 121.  Disp Str8 
 122.  Pause X 
 123.  DelVar ZDelVar X:ClrHome 
 124.  Goto 2 
 125.  Lbl 2B EQUAL TRI
 126.  Input "SIDE",S 
 127.  √(3S)/4->Z AREA
 128.  Goto A 
 129.  Lbl 2C TRIANGLE
 130.  Prompt A,B,C 
 131.  A+B+C->X PERIMETER
 132.  (A+B+C)/2->S 
 133.  √(S(S-A)(S-B)(S-C))->Z AREA
 134.  Goto A 
 135.  Lbl 2D DIAGNOL PERP
 136.  Input "DIAGNOL 1=",D 
 137.  Input "DIAGNOL 2=",A 
 138.  (DA)/2->Z 
 139.  Goto A 
 140.  Lbl 2E RECTANGLE
 141.  Prompt B,H 
 142.  2B+2H->X PERIMETER
 143.  BH->Z AREA
 144.  Goto A 
 145.  Lbl 2F RHOMBUS
 146.  Input "DIAGONAL 1=",D 
 147.  Input "DIAGONAL 2=",A 
 148.  (AD)/2->Z AREA
 149.  Goto A 
 150.  Lbl 2G TRAPEZIOD
 151.  Prompt A,B,H 
 152.  ((A+B)H)/2->Z AREA
 153.  Goto A 
 154.  Lbl 2H QUAD
 155.  Prompt A,B,C,D 
 156.  Input "DIAGNOL 1=",E 
 157.  Input "DIAGNOL 2=",F 
 158.  (√(4E²F²-(B²+D²-A²-C²)²))/4->Z AREA
 159.  Goto A 
 160.  Lbl 2I POLYGON
 161.  Input Str4,R 
 162.  Input "NUMBER OF SIDES=",N 
 163.  ((NR²)(sin(360/N))/2->Z AREA
 164.  Goto A 
 165.  Lbl 2J CIRCLE
 166.  Input Str4,R 
 167.  πR²->Z AREA
 168.  2piR->X 
 169.  Disp "CIRCUMFERANCE=",X CIRCUMFERANCE
 170.  Goto A 


Reference Commands:
TI Basic Commands:
  ClrHome   clears home screen
  dim(   returns the dimension (number of elements) of list
  Disp   displays text or value specified
  expr(   converts string to an expression
  Fix   sets fixed-decimal mode for number of decimal places
  Float   sets floating decimal mode. Displays decimal with no trailing zeros
  Goto   goes to label specified. Goto requires a line label be implemented as a destination
  Input   prompts for value to store to variable. Requires user input through keypad.
  Lbl   creates a label of one or two characters
  Menu   generates a menu of up to seven items
  Output(row, column)   displays text or value beginning at specified row and column
  Str# (# is number)   String: A sequence of characters is called a string
  sum(   returns the sum of elements in list

Reference: Screenshots
TI-83 Screenshots
  
cubeti-83ti-83ti-83
 
cubeti-83ti-83ti-83
 
ti-83ti-83ti-83ti-83
  
Reference Links:
mathematical references and formulas
  http://www.rfcafe.com/references/mathematical.htm
Ask Dr. Math - Triangle Formulas
  http://mathforum.org/dr.math/faq/formulas/faq.triangle.html
Ask Dr. Math - Quadrilateral Formulas
  http://mathforum.org/dr.math/faq/formulas/faq.quad.html
Ask Dr. Math - Sphere Formulas
  http://mathforum.org/dr.math/faq/formulas/faq.sphere.html
Ask Dr. Math - Cone Formulas
  http://mathforum.org/dr.math/faq/formulas/faq.cone.html
Ask Dr. Math - Pyramid Formulas
  http://mathforum.org/dr.math/faq/formulas/faq.pyramid.htm
UnitMath Example: Geometric Solids
  http://unitmath.com/um/p/Examples/GeometricSolids/GeometricSolids.html
Measurement Formulas
  http://www.ayton.id.au/gary/Science/Ma_mens.htm
Formulas 1 to 36 Geometry
  http://www.premiumorange.com/daniel.robert9/anglais/Formulaires_mathematiques.html
Math Open Reference - Plane Geometry - Solid Geometry
  http://www.mathopenref.com/index.html
http://www.mathsisfun.com/
Free Online Calculators
  http://www.1728.com/volcone.htm
Right Circular Cone Calculator & Cone Frustum Calculator
  http://www.webcalc.net/menu.php
Online math calculator
  http://www.educypedia.be/education/calculatorsmathadv.htm
Online geometry and trigonometry calculators
Free Online Tutorials - Basic Area Tutorials:
  http://easycalculation.com/tutorial.php
 
Math Resources
  http://www.mathwords.com/
Mathwords: Terms and Formulas
  http://mathworld.wolfram.com/
Wolfram MathWorld: The Web's Most Extensive Mathematics Resource
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