AreaVol with 3-D figures

Introduction:  TI-83 Program 3-D figures: Calculates Volume, Lateral Area & Surface Area for, Prism, Pyramid, Cylinder, Sphere, Cone. AreaVol was written by gtmax max (gtmax500@gmail.com) and modified by [navyfalcon].


 Prism  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
 
Note: Click on the blue underline name of the figure to go to calculation details
 
 
Outline:
  Line 1. Clear
  Line 2 - 11. Instructions
      Surface Area
  Line 17. Lbl 4 - Prism
  Line 30. Lbl 5 - Pyramid
  Line 68. Lbl 6 - Cylinder
  Line 79. Lbl 7 - Sphere
  Line 90. Lbl 8 - Cone
      Volume
  Line 119. Lbl 14 - Pyramid
  Line 135. Lbl 15 - Cylinder
  Line 146. Lbl 16 - Sphere
  Line 157. Lbl 17 - Prism
  Line 170. Lbl 18 - Cone
    Reference Screenshots
    Pyramid Problems & solutions
    Reference Links
 
      Lateral Area
  Line 194. Lbl 20 - Pyramid
  Line 204. Lbl 21 - Cylinder
  Line 212. Lbl 22 - Cone
  Line 220. Lbl 23 - Tri Prism

      Calculations
  Prism
  Pyramid
  Cylinder
  Sphere
  Cone

AreaVol

Line  Command or Statement  Comments
    1. Fix 8 
    2. "LENGTH= ->Str1 
    3. "WIDTH= ->Str2 
    4. "HEIGHT ->Str3 
    5. "SURFACE "->Str4 
    6. "AREA= ->Str5 
    7. "SIDE "->Str6 
    8. "SLANT "->Str7 
    9.  "RADIUS= ->Str8 
  10.  "VOLUME= ->Str9 
  11.  "LATERAL ->Str0 
  12.  Lbl 00 
  13.  ClrHome 
  14.  Menu("AREA AND VOLUME","VOLUME",2,"SURFACE AREA",1, "LAT SURFACE AREA",3,"QUIT",24) 
  15.  Lbl 1 
  16.  Menu("SURFACE AREA","PRISM",4,"PYRAMID",5,"CYLINDER",6, "SPHERE",7,"CONE",8) 
  17.  Lbl 4 SA OF PRISM
  18.  Disp " SA OF PRISM 
  19.  Input Str1,L LENGTH
  20.  Input Str2,W WIDTH
  21.  Input Str3,H HEIGHT
  22.  2(LW+LH+WH)->D 
  23.  Disp Str4+Str5,D SURFACE AREA
  24.  D/pi->E 
  25.  Output(7,5,E 
  26.  Output(7,16,"p 
  27.  Output(8,3,"A=2(LW+LH+WH) FORMULA
  28.  Pause 
  29.  Goto 00 
  30.  Lbl 5 SA OF PYRAMID
  31.  Menu("WHAT DO YOU NO","HEIGHT",9,"SLANT HEIGHT",10, "RECTANGLE",26) 
  32.  Lbl 9 (HEIGHT) PYRAMID
  33.  Disp " SA OF PYRAMID 
  34.  Input Str6+Str1,S SIDE LENGTH
  35.  Input "NO SIDES=",N NO OF SIDES
  36.  Input Str3+"=",H HEIGHT
  37.  sqrt((S/2)^2+H^2)->D SLANT HEIGHT
  38.  (1/2)(D)(SN)->F LATERAL AREA
  39.  1/4(S^2)->G 
  40.  ((pi(N-2))/(2N)->I 
  41.  (G)Ntan(I)->J BASE AREA
  42.  F+J->K 
  43.  Output(5,1," SA=" SURFACE AREA
  44.  Output(5,5,K" 
  45.  Output(6,1,"SA=1/4(S^2)Ntan(( FORMULA
  46.  Output(7,1," (pi(N-2))/(2N))+ 
  47.  Output(8,1,"1/2sqrt((S/2)^2+H^2)SN 
  48.  Pause 
  49.  Goto 00 
  50.  Lbl 10 PYRAMID (SLANT HEIGHT)
  51.  Disp "SA OF PYRAMID" 
  52.  Input Str6+Str1,S SIDE LENGTH
  53.  Input "NO OF SIDES=",N NO OF SIDES
  54.  Input Str7+Str3+"=",L SLANT HEIGHT
  55.  (1/2)(L)(SN)->D LATERAL AREA
  56.  1/4(S^2)->G 
  57.  ((pi(N-2))/(2N))->I 
  58.  (G)Ntan(I)->J BASE AREA
  59.  D+J->K 
  60.  Output(5,1," SA=" SURFACE AREA
  61.  Output(5,5,K 
  62.  Output(6,1,"SA=1/4(S^2)Ntan(( FORMULA
  63.  Output(7,1,"(pi(N-2))/(2N))+ 
  64.  Output(8,1,"1/2(L)SN 
  65.  Pause 
  66.  Goto 00 
  67.  Lbl 6 SA OF CYLINDER
  68.  Input Str8,R RADIUS
  69.  Input Str3,H HEIGHT
  70.  2piR(H+R)->C 
  71.  C/pi->E 
  72.  Disp Str4+Str5,C SURFACE AREA
  73.  Output(6,5,E 
  74.  Output(6,16,"pi 
  75.  Output(8,4,"A=2piR(R+H) FORMULA
  76.  Pause 
  77.  Goto 00 
  78.  Lbl 7 SA OF SPHERE
  79.  Disp " SA OF SPHERE" 
  80.  Input Str8,R RADIUS
  81.  4piR^2->B 
  82.  Disp Str4+Str5,B SURFACE AREA
  83.  B/pi->C 
  84.  Output(5,5,C 
  85.  Output(5,16,"pi 
  86.  Output(8,4,A=4piR^2 FORMULA
  87.  Pause 
  88.  Goto 00 
  90.  Lbl 8 SA OF CONE
  91.  Menu("WHAT DO YOU NO","HEIGHT",12,"SLANT HEIGHT",13) 
  92.  Lbl 12 HEIGHT OF CONE
  93.  Disp " SA OF CONE" 
  94.  Input Str8,R RADIUS
  95.  Input Str3,H HEIGHT
  96.  sqrt(R^2+H^2)->C SLANT HEIGHT
  97.  piR(C+R)->D 
  98.  Disp Str4+Str5,D SURFACE AREA
  99.  D/pi->E 
100.  Output(6,5,E 
101.  Output(6,16,"pi 
102.  Output(8,1,"A=piR^2+sqrt(R^2+H^2) FORMULA
103.  Pause 
104.  Goto 00 
105.  Lbl 13 SLANT HEIGHT OF CONE
106.  Disp " SA OF CONE" 
107.  Input Str8,R RADIUS
108.  Input Str7+Str3,H SLANT HEIGHT
109.  pi*R*(R+H)->C 
110.  Disp Str4+Str5,C SURFACE AREA
111.  C/pi->D 
112.  Output(6,5,D 
113.  Output(6,16,"pi 
114.  Output(8,4,"A=piR(R+H) FORMULA
115.  Pause 
116.  Goto 00 
117.  Lbl 2 VOLUME
118.  Menu("VOLUME","PYRAMID",14,"CYLINDER",15,"SPHERE",16, "PRISM",17,"CONE",18,"TRI PRISM",19) 
119.  Lbl 14 VOL. OF PYRAMID
120.  Disp "VOLUME OF PYRAMID" 
121.  Input Str6+Str1,A
 SIDE LENGTH
122.  Input "NO OF SIDES=",B NO OF SIDES
123.  Input Str3,C HEIGHT
124.  (360/B)/2->D 
125.  A/tan(D)/2->E 
126.  (1/2)(E)(A)->F 
127.  FB->G 
128.  (1/3)GC->V 
129.  Disp Str9,V 
130.  V/pi->I 
131.  Output(7,5, I 
132.  Output(7,16,"pi" 
133.  Pause 
134.  Goto 00 
135.  Lbl 15 VOL OF CYLINDER
135.  Disp "VOL OF CYLINDER" 
136.  Input Str8,R RADIUS
137.  Input Str3,H HEIGHT
138.  piR^2H->V 
139.  Disp Str9,V 
140.  V/pi->E 
141.  Output(6,5, E 
142.  Output(6,16,"pi" 
143.  Output(8,4,"V=piR^2H FORMULA
144.  Pause 
145.  Goto 00 
146.  Lbl 16 VOL OF SPHERE
147.  Disp "VOL OF SPHERE" 
148.  Input Str8,R RADIUS
149.  (4/3)pi(R^3)->V 
150.  Disp Str9,V 
151.  V/pi->C 
152.  Output(5,5,C 
153.  Output(5,16,"pi" 
154.  Output(8,4,"V=4/3piR^3 FORMULA
155.  Pause 
156.  Goto 00 
157.  Lbl 17 
158.  Disp "VOL OF PRISM" 
159.  Input Str1,L LENGTH
160.  Input Str2,W WIDTH
161.  Input Str3,H HEIGHT
162.  LWH->V 
163.  Disp Str9,V VOLUME
164.  V/pi->E 
165.  Output(7,5,E 
166.  Output(7,16,"pi" 
167.  Output(8,4,"V=LWH" FORMULA
168.  Pause 
169.  Goto 00 
170.  Lbl 18 
171.  Disp "VOL OF A CONE" 
172.  Input Str8,R RADIUS
173.  Input Str3,H HEIGHT
174.  (1/3)piR^2H->V 
175.  Disp Str9,V VOLUME
176.  V/pi->D 
177.  Output(6,5,D 
178.  Output(6,16,"pi" 
179.  Output(8,4,"V=(1/3)piR^2H" FORMULA
180.  Pause 
181.  Goto 00 
182.  Lbl 19 
183.  Disp "VOL OF TRI PRISM" 
184.  Input Str6+Str1,A SIDE LENGTH
185.  Input "BASE"+Str3,B BASE HEIGHT
186.  Input Str3,C HEIGHT
187.  (1/2)AB->D 
188.  DC->E 
189.  Disp Str9,E 
190.  Pause 
191.  Goto 00 
192.  Lbl 3 
193.  Menu("LAT SURFACE AREA","PYRAMID",20,"CYLINDER",21,"CONE",22,"TRI PRISM",23) 
194.  Lbl 20 
195.  Disp "LAT AREA PYRAMID" 
196.  Input Str7+Str3,A SLANT HEIGHT
197.  Input "NO OF SIDES=",B 
198.  Input Str6+Str1,C SIDE LENGTH
199.  CB->D 
200.  (1/2)AD->E 
201.  Disp "LAT AREA",E 
202.  Pause 
203.  Goto 00 
204.  Lbl 21 
205.  Disp "LAT AREA CYLINDER" 
206.  Input Str8,A RADIUS
207.  Input Str3,B HEIGHT
208.  2piAB->C 
209.  Disp "LAT AREA",C 
210.  Pause 
211.  Goto 00 
212.  Lbl 22 
213.  Disp "LAT AREA CONE" 
214.  Input Str8,A RADIUS
215.  Input Str7+Str3,B SLANT HEIGHT
216.  piAB->C 
217.  Disp "LAT AREA",C 
218.  Pause 
219.  Goto 00 
220.  Lbl 23 
221.  Disp "LAT AREA TRI PRSM" 
222.  Input Str6+Str1,A SIDE LENGTH
223.  Input "BASE"+Str3,B BASE HEIGHT
224.  Input Str3,C HEIGHT
225.  A3->D 
226.  DC->E 
227.  Disp "LAT AREA",E 
228.  Pause 
229.  Goto 00 
230.  Lbl 26 
231.  Disp "NON-REGULAR PYR" 
232.  Input "SIDE 1?? ",A SIDE 1
233.  Input "SIDE 2?? ",B SIDE 2
234.  Input "SLANT HEIGHT?? ",C SLANT HEIGHT
235.  (A*B)+((1/2)(A+A+B+B)(C))->D 
236.  Disp "SURFACE AREA",D SURFACE AREA
237.  Pause 
238.  Goto 00 
239.  Lbl 24 
240.  ClrHome 
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
  
ti-83ti-83ti-83ti-83
  
ti-83ti-83ti-83ti-83
 

Pyramid Problems & solutions

Pyramid problems related to surface area and volume with detailed solutions
http://www.analyzemath.com/Geometry/pyramid_problems.html

Word Problems: Volume and Surface Area of Pyramids
http://www.algebralab.org/Word/Word.aspx?file=Geometry_VolumeSurfaceAreaPyramids.xml

Pyramid & Frustum Formulas
http://mathforum.org/dr.math/faq/formulas/faq.pyramid.html

Formula Derivations for Polyhedra
http://whistleralley.com/polyhedra/derivations.htm

Reference Links:
mathematical references and formulas
  http://www.rfcafe.com/references/mathematical.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/
  http://www.artikel-software.com/file/mt-v1.pdf
Handbook of Mathematics (U S Dept of Energy)
  http://www2.stetson.edu/~mhale/teach/ti84.htm
TI-84(Plus) Graphing Calculator Selected Instructions
  http://www.ibiblio.org/technicalc/tifaq/?main.htm
TI Graphing Calculator FAQ
  http://101science.com/math.htm
Mathematics
Free Online Calculators
  http://freeonlinecalculator.net/
Calculators online for math, algebra, fractions, geometry, physics, finance, and more.
  http://www.1728.com/indexgeo.htm
Geometry calculators for: angle conversion, circle cirumference and circle area, sphere area and sphere volume, cylinder area and cylinder volume, Pythagorean Theorem, and 3 ellipse
Free Online Tutorials - Basic Area Tutorials:
  http://easycalculation.com/tutorial.php
 
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