ALGEBRA: 3-D & 2-D Shapes

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   and modified by navyfalcon].

Note: Click on the blue underline name of the figure to go to calculation details

 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 Circle Figure
 1/2 c*h  a*b  a*h  b*h  m*h  2πR²  area
 
 
Outline:
Note:  In the Outline below, click on the figure type to take you to that portion of the program (such as "box" or "triangle")
  Line 1. Clear
  Line 2 - 7. Instructions
  Line 21. Lbl CU - Cube
  Line 34. Lbl BO - Box
  Line 40. Lbl PY - Pyramid
  Line 50. Lbl CY - Cylinder
  Line 57. Lbl SP - Sphere
  Line 63. Lbl CO - Cone
  Line 72. Lbl SS - Sphere Sector
  Line 79. Lbl 1S - 1 Base Sphere Segment
  Line 86. Lbl SC - Spherical Cone
  Line 93. Lbl 2S - 2 Base Sphere Segment
  Line 100. Lbl TC - Topless Cone
  Line 106. Lbl TP - Topless Pyramid
    Reference Commands
    TI-83/84 Screenshots
    Reference Links
 
  Line 131. Lbl 2A - Right Tri
  Line 140. Lbl 2B - Equal Tri
  Line 144. Lbl 2C - Triangle
  Line 150. Lbl 2D - Diagnol Prep
  Line 155. Lbl 2E - Rectangle
  Line 160. Lbl 2F - Rhombus
  Line 165. Lbl 2G - Trapezoid
  Line 169. Lbl 2H - Quad
  Line 175. Lbl 2I - Polygon
  Line 180. 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.  "SIDE= ->Str9 
 10.  "BASE= ->Str0 
 11.  Lbl Z 
 12.  ClrHome 
 13.  Menu("MATH PROG","3-D",1,"2-D",2,"QUIT",4 Menu
 14.  Lbl 4 
 15.  ClrHome 
 16.  Stop 
 17.  Lbl 1 
 18.  Menu("3-D","CUBE",CU,"BOX",BO,"PYRAMID",PY, Menu
  "CYLINDER",CY,"SPHERE",SP,"CONE",CO,"MORE",5 
 19.  Lbl 5 
 20.  Menu("MORE 3-D","SPHERICAL SECTOR",SS, Menu
   "SPHERICAL CONE",SC, 
   "2 BASE SEGMENT OF SPHERE",2S,"TOPLESS CONE",TC, 
   "PRISM",PR, "TOPLESS PYRAMID",TP,"BACK",Z 
 21.  Lbl CU CUBE
 22.  Disp " CUBE 
 23.  Input Str9+" LENGTH=",S 
 24.  S³->Z VOLUME
 25.  6S²->X SURFACE AREA
 26.  Lbl V:Fix 3
 27.  Output(5,2, Str1 Disp VOLUME
 28.  Output(5,6, Z 
 29.  Output(6,2,Str2 Disp Surface Area
 30.  Output(7,6,X 
 31.  Pause 
 32.  DelVar ZDelVar X:ClrHome:Float 
 33.  Goto Z 
 34.  Lbl BO BOX
 35.  Disp " BOX" 
 36.  Input Str3,L:Input Str4,W:Input Str5,H 
 37.  LWH->Z VOLUME
 38.  2(LW+WH+LH)->X SURFACE AREA
 39.  Goto V 
 40.  Lbl PY PYRAMID
 41.  Disp " PYRAMID" 
 42.  Input Str3,L BASE LENGTH
 43.  Input Str4,W BASE WIDTH
 44.  Input Str5,H HEIGHT
 45.  LWH/3->Z VOLUME
 46.  √((L/2)²+H²)->C 
 47.  √((W/2)²+H²)->D 
 48.  LC+WD+LW->X SURFACE AREA
 49.  Goto V 
 50.  Lbl CY CYLINDER
 51.  Disp " CYLINDER" 
 52.  Input Str6,R 
 53.  Input Str5,H 
 54.  πR²H->Z VOLUME
 55.  2πR(R+H)->X SURFACE AREA
 56.  Goto V 
 57.  Lbl SP  SPHERE
 58.  Disp " SPHERE" 
 59.  Input Str6,R 
 60.  (4/3)(πR³)->Z VOLUME
 61.  4πR²->X SURFACE AREA
 62.  Goto V 
 63.  Lbl CO CONE
 64.  Disp " CONE" 
 65.  Input Str6,R 
 66.  πR²->A 
 67.  Input Str5,H 
 68.  AH/3->Z VOLUME
 69.  π(H²+R²)->S 
 70.  A+πRS->X SURFACE AREA
 71.  Goto V 
 72.  Lbl SS SPHERICAL SECTOR
 73.  Disp " SPHERICAL SEC" 
 74.  Input Str6,R 
 75.  Input Str5,H 
 76.  (πR²H)(2/3)->Z VOLUME
 77.  2πRH->X SURFACE AREA
 78.  Goto V 
 79.  Lbl 1H 1 BASE SEGMENT OF SPHERE
 80.  Disp "1BASE SPHERE SEG" 
 81.  Input Str6,R 
 82.  Input Str5,H 
 83.  (πH²(3R-H))/3->Z VOLUME
 84.  2πRH->X SURFACE AREA
 85.  Goto V 
 86.  Lbl SC SPHERICAL CONE
 87.  Disp " SPHERICAL CONE" 
 88.  Input Str6,R 
 89.  Input Str5,H 
 90.  ( 2/3πR²H->Z VOLUME
 91.  πR(R+V(R^2+H^2))->X SURFACE AREA
 92.  Goto V 
 93.  Lbl 2S 2 BASE SEGMENT OF SPHERE
 94.  Disp "2BASE SPHERE SEG" 
 95.  Prompt A,B,H 
 96.  (πH(3A²+3B²+H²))/6->Z VOLUME
 97.  Input Str6,R 
 98.  2πRH->X SURFACE AREA
 99.  Goto V 
100.  Lbl TC TOPLESS CONE
101.  Disp "TOPLESS CONE" 
102.  Input Str6 "1=",R 
103.  Input Str6 "2=",A 
104.  Input Str5,H 
105.  (H/3)((πR²)²+(πA²)²+√((πR²)(πA²)->Z VOLUME
106.  π(R²+A²+(R+A)√(R-A)²+H))->X SURFACE AREA
107.  Goto V 
108.  Lbl 1K PRISM
109.  Input "AREA OF BASE=",B  
110.  Input "ALTITUDE=",A 
111.  AB->Z VOLUME
112.  Input "NUMBER OF SIDES=",N 
113.  Input "AREA OF SIDE=",S 
114.  2B+SN->X SURFACE AREA
115.  Goto V 
116.  Lbl TP TOPLESS PYRAMID
117.  Input "BASE 1" Str3,A 
118.  Input "BASE 1" Str4,B 
119.  Input "BASE 2" Str3,C 
120.  Input "BASE 2" Str4,D 
121.  Input Str5,H 
122.  (2(A+C)H/2)+(2(B+D)H/2)+AB+CD->X SURFACE AREA
123.  (H/3)(AB+CD+√(ABCD)->Z VOLUME
124.  Goto V 
125.  Lbl 2 
126.  Menu("2-D","RIGHT TRI",2A,"EQUAL TRI",2B, Menu
 "TRIANGLE",2C,"DIAGNOL PERP",2D, 
 "RECTANGLE",2E,"RHOMBUS",2F,"MORE",7 
127.  Lbl 7 
128.  Menu("MORE 2-D","TRAPEZIOD",2G,"QUAD",2H, Menu
 "POLYGON",2I,"CIRCLE",2J,"BACK",8 
129.  Lbl 8 
130.  Goto Z 
131.    Lbl 2A RIGHT TRI
132.  Prompt A,B 
133.  (AB)/2->Z 
134.  Lbl A 
135.  Disp Str7,Z 
136.  Disp Str8 
137.  Pause X 
138.  DelVar ZDelVar X:ClrHome 
139.  Goto 2 
140.  Lbl 2B EQUAL TRI
141.  Input "SIDE",S 
142.  √(3S)/4->Z AREA
143.  Goto A 
144.  Lbl 2C TRIANGLE
145.  Prompt A,B,C 
146.  A+B+C->X PERIMETER
147.  (A+B+C)/2->S 
148.  √(S(S-A)(S-B)(S-C))->Z AREA
149.  Goto A 
150.  Lbl 2D DIAGNOL PERP
151.  Input "DIAGNOL 1=",D 
152.  Input "DIAGNOL 2=",A 
153.  (DA)/2->Z 
154.  Goto A 
155.  Lbl 2E RECTANGLE
156.  Prompt B,H 
157.  2B+2H->X PERIMETER
158.  BH->Z AREA
159.  Goto A 
160.  Lbl 2F RHOMBUS
161.  Input "DIAGONAL 1=",D 
162.  Input "DIAGONAL 2=",A 
163.  (AD)/2->Z AREA
164.  Goto A 
165.  Lbl 2G TRAPEZIOD
166.  Prompt A,B,H 
167.  ((A+B)H)/2->Z AREA
168.  Goto A 
169.  Lbl 2H QUAD
170.  Prompt A,B,C,D 
171.  Input "DIAGNOL 1=",E 
172.  Input "DIAGNOL 2=",F 
173.  (√(4E²F²-(B²+D²-A²-C²)²))/4->Z AREA
174.  Goto A 
175.  Lbl 2I POLYGON
176.  Input Str4,R 
177.  Input "NUMBER OF SIDES=",N 
178.  ((NR²)(sin(360/N))/2->Z AREA
179.  Goto A 
180.  Lbl 2J CIRCLE
181.  Input Str4,R 
182.  πR²->Z AREA
183.  2piR->X 
184.  Disp "CIRCUMFERANCE=",X CIRCUMFERANCE
185.  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
 3-D Menu More 3-D Menu  2-D Menu More 2-D Menu
 
cubeti-83ti-83ti-83
 Cube Box  Cylinder Sphere
 
ti-83ti-83ti-83ti-83
 Cone Spherical Sector  1 Base Spher Seg Topless Cone
  
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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