Algebra Solutions - homework helpers, geometry shapes, calculator

Algebra Solutions with Formulas

Algebra Solutions: 2-D & 3-D Geometric figures. Calculates Area for 2-D figures; square, rectangle, circle, triangle, parallelogram & trapezoid. Plus calculates Volume & Surface Area for 3-D figures; box, cylinder, sphere, cone, pyramid, & prism

articles

home

Free Math Calculators
AA Math Optimization

MENU 1

MENU 2

ALGEBRA: 2-D & 3-D figures

Introduction: 2-D figures: Calculates Area for; Square, Rectangle, Circle, Triangle, Parallelogram, Trapezoid 3-D figures: Calculates Volume & Surface Area for; Box, Cylinder, Sphere, Cone, Pyramid.

Note: This program is in TI-BASIC and can be entered into the calculator by the calculator keyboard. Do not enter the outline, line numbers or comments, they are for reference only. The program has been checked and tested. This program APlus was written by [Mark Olson] and modified by (navyfalcon) e-mail

Square

Rectangle

Circle

Triangle

Trapezoid

Figure

A = S²	A = LW	A = πR²	A = 1/2(bh)	A = ((a+b)h)/2	Area
P = 4S	P = 2(l+w)	C = 2πR	P = B+C+D		Perimeter

Box

Cylinder

Sphere

Cone

Pyramid

Figure

V = LWH	V = ABH/3	V = 4/3πR³	V = πR²H	V = S²*H/3	Volume
S = 2(LH+HW+WL)	S = 2πR(R+H)	S = 4πR²	S = 2πR(R+H)	S = W√[h²+(L/2)²]+ L√[h²+(W/2²]+WL	Surface Area

Related Articles:- Geometric shapes AreaVol Figure AA Math

Outline:

Note: In the Outline, click on the figure type to take you to that portion of the program (such as "square" or "cube")

Line Number - Type of Figure

Line 2 - 10. Preparation

Line 27. Lbl VO Menu_3-D

Line 28. Lbl CU - Cube

Line 38. Lbl VR - Square Prism

Line 47. Lbl VP - Pyramid

Line 55. Lbl VS - Sphere

Line 62. Lbl VC - Cylinder

Line 70. Lbl VN - Cone

Line 128. Lbl 3C - Cube

Line 137. Lbl 3Y - Cylinder

Line 145. Lbl 3P - Cone

Line 177. Lbl 3B - Box

Line 186. Lbl 3S - Sphere

Reference Commands

Reference Screenshots

Reference Links

Algebra Homework Help

Line Number - Type of Figure

Line 78. Lbl A_Menu_2-D

Line 82. Lbl AS - Square

Line 93. Lbl AA - Rectangle

Line 101. Lbl AE - Ellipse

Line 109. Lbl AP - Pentagon

Line 115. Lbl AH - Hexagon

Line 121. Lbl AO - Octogon

Line 153. Lbl AT - Triangle

Line 161. Lbl TR - Trapezoid

Line 170. Lbl AC - Circle

Algebra Solutions - TI-83 Program

Line	Command or Statement	Comments
1.	Float
2.	"LENGTH = ->Str1	LENGTH
3.	"WIDTH = ->Str2	WIDTH
4.	"HEIGHT = ->Str3	HEIGHT
5.	" VOLUME = ->Str4	VOLUME
6.	"BASE ->Str5	BASE
7.	"RADIUS = ->Str6	RADIUS
8.	" AREA = ->Str7	AREA
9.	" SURF. ->Str8	SURF.
10.	"DIAMETER = ->Str9	DIAMETER
11.	Lbl A
12.	ClrHome	Clear Screen
13.	Menu(" A+ MATH 1.0 ","FORMULAS",FO,"EXIT",EX	Menu
14.	Goto A
15.	Return
16.	Lbl EX	Exit
17.	ClrHome	Clear Screen
18.	Output(2,6,"A+ MATH	Credits
19.	Output(4,8,"BY	\|
20.	Output(6,1,"SMALLVILLE	\|
21.	Output(7,6,"PRODUCTIONS	End Credits
22.	Lbl FO	Formulas
23.	Menu(" A+ MATH 1.0 ","AREA",AR,"VOLUME",VO,"BACK",A	Menu Volume-Area
24.	Lbl AR	Area
25.	Menu(" A+ MATH 1.0 ","2D",2D,"3D",3D,"BACK",FO	3D-2D
26.	Lbl VO	Volume
27.	Menu(" A+ MATH 1.0 ", "CUBE",CU,"PRISM",VR,"PYRAMID",VP, "SPHERE",VS, "CYLINDER",VC,"CONE",VN,"BACK",FO	Menu 3D figures
28.	Lbl CU	CUBE
29.	ClrHome
30.	Disp "CUBE V=L³
31.	Disp ""	space
32.	Input Str1,L	Length
33.	L³->V
34.	Lbl 1	Lbl 1 (vol.)
35.	Disp Str4,V
36.	Pause
37.	Goto A	Main Menu
38.	Lbl VR	SQUARE PRISM
39.	ClrHome
40.	Disp "PRISM V=LWH
41.	Disp ""	space
42.	Input Str1,L	Length
43.	Input Str2,W	Width
44.	Input Str3,H	Height
45.	LWH->V
46.	Goto 1	Goto 1
47.	Lbl VP	PYRAMID
48.	ClrHome
49.	Disp "PYRAMID V=(BH)/3
50.	Disp ""	space
51.	Input Str5+"=",B	Base Area
52.	Input Str3,H	Height
53.	(BH)/3->V
54.	Goto 1	Goto 1
55.	Lbl VS	SPHERE
56.	ClrHome
57.	Disp "SPHER V=(4/3)πR³
58.	Disp ""	space
59.	Input Str6,R	Radius
60.	(4/3)(πR³)->A
61.	Goto 1	Goto 1
62.	Lbl VC	CYLINDER
63.	ClrHome
64.	Disp "CYL. V=πR²H
65.	Disp ""	space
66.	Input Str6,R	Radius
67.	Input Str3,H	Height
68.	πR²H->V
69.	Goto 1	Goto 1
70.	Lbl VN	CONE
71.	ClrHome
72.	Disp "CONE V=(1/3)πR²H
73.	Disp ""	space
74.	Input Str6,R	Radius
75.	Input Str3,H	Height
76.	(1/3)(πR²H)->V
77.	Goto 1	Goto 1
78.	Lbl 2D	Lbl 2D
79.	Menu(" A+ MATH 1.0 ", "SQUARE",AS,"RECTANGLE",AA,"TRIANGLE",AT,"TRAPEZIOD",TR, "CIRCLE",AC,"BACK",AR,"MORE",A2	Menu 2D figures
80.	Lbl A2
81.	Menu(" A+ MATH 1.0 ","PENTAGON",AP,"HEXAGON",AH,"OCTOGON",AO,"ELLIPSE",AE, "BACK",2D	Menu polygons
82.	Lbl AS	SQUARE
83.	ClrHome
84.	Disp "A=L²
85.	Disp ""	space
87.	Input Str1,L	Length
88.	L²->A
89.	Lbl 2	Lbl 2 (area)
90.	Disp Str 7,A
91.	Pause
92.	Goto A
93.	Lbl AA	RECTANGLE
94.	ClrHome
95.	Disp "A=LW
96.	Disp ""	space
97.	Input Str1,L	Length
98.	Input Str2,W	Width
99.	LW->A
100.	Goto 2
101.	Lbl AE	ELLIPSE
102.	ClrHome
103.	Disp "A=D1D20.7854
104.	Disp ""	space
105.	Input Str9+" 1 (D1)=",B	Diameter
106.	Input Str9+" 2 (D2)=",C	Diameter
107.	BC*.7854->A
108.	Goto 2
109.	Lbl AP	PENTAGON
110.	ClrHome
111.	Disp "A=L*1.720
112.	Input "LENGTH:",L	Length
113.	L*1.720->A
114.	Goto 2
115.	Lbl AH	HEXAGON
116.	ClrHome
117.	Disp "A=L*2.598
118.	Input Str1,L	Length
119.	L*2.598->A
120.	Goto 2
121.	Lbl AO	OCTOGON
122.	Disp "A=L*4.828
123.	Input Str1,L	Length
124.	L*4.828->A
125.	Goto 2
126.	Lbl 3D
127.	Menu(" A+ MATH 1.0 ","BOX",3B,"",3S,"CUBE",3C,"CYLINDER",3Y,"CONE",3P,"BACK",AR
128.	Lbl 3C	CUBE
129.	ClrHome
130.	Disp "A=6L²
131.	Disp ""	space
132.	Input Str1,L	Length
133.	6L²->A
128.	Lbl 3	Lbl 3 (surf area)
134.	Disp Str8+Str7,A	Surf. Area
135.	Pause
136.	Goto A
137.	Lbl 3Y	CYLINDER
138.	ClrHome
139.	Disp "A=2πRH+2πR²
140.	Disp ""	space
141.	Input Str6,R	Radius
142.	Input Str3,H	Height
143.	(2πRH)+(2πR²)->A
144.	Goto 3
145.	Lbl 3P	CONE
146.	ClrHome
147.	Disp "A=πR√(R²+H²
148.	Disp ""	space
149.	Input Str6,R	Radius
150.	Input Str6,H	Height
151.	(πR)√((R²+H²)->A
152.	Goto 3
153.	Lbl AT	TRIANGLE
154.	ClrHome
155.	Disp "A=(BH)/2
156.	Disp ""	space
157.	Input Str5,B
158.	Input Str3,H	Height
159.	(BH)/2->A
160.	Goto 2
161.	Lbl TR	Trapezoid
162.	ClrHome
163.	Disp "A=(H(B1+B2))/2
164.	Disp ""	space
165.	Input Str3,H	Height
166.	Input Str5+"1=",B
167.	Input Str5+"2=",C
168.	(H(B+C))/2->A
169.	Goto 2
170.	Lbl AC	CIRCLE
171.	ClrHome
172.	Disp "A=πR²
173.	Disp ""	space
174.	Input Str6,R	Radius
175.	πR²->A
176.	Goto 2
177.	Lbl 3B	BOX
178.	ClrHome
179.	Disp "A=2(LW+LH+HW)
180.	Disp ""	space
181.	Input Str1,L	Length
182.	Input Str2,W
183.	Input Str3,H	Height
184.	2(LW+LH+HW)->A
185.	Goto 3
186.	Lbl 3S	SPHERE
187.	ClrHome
188.	Disp "A=4πR²
189.	Disp ""	space
190.	Input Str6,R	Radius
191.	4πR²->A
192.	Goto 3

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

Reference Links:
mathematical references and formulas

Geometry: Shapes and Solids: Pictures of Geometry Shapes & Solids with formulas
http://www.ecalc.com/math-help/worksheet/geometry/

mathematical references and formulas: Engineering & Mathematics Resources including Plane & Soild Geometry Figures & Formulas
http://www.rfcafe.com/references/mathematical.htm

UnitMath Example: Geometric Solids: Geometric Solids; Diagrams, Formulas and Examples
http://unitmath.com/um/p/Examples/GeometricSolids/GeometricSolids.html

Formulas 1 to 36 Geometry: Formulas & Diagrams
http://www.premiumorange.com/daniel.robert9/anglais/Formulaires_mathematiques.html

Math Open Reference - Plane Geometry - Solid Geometry
http://www.mathopenref.com/index.html

Using the TI-83/83 Calculator - Trigonometry Formulas for Area of Triangle and Area of Parallelogram
http://mathbits.com/Mathbits/TISection/Trig/AreaTrigTri.htm

TI BASIC Commands - List of TI-BASIC Commands
http://tibasic.wikia.com/wiki/List_of_TI-BASIC_Commands

Index TI Basic Commands - List of TI-Basic Commands
http://tibasicdev.wikidot.com/command-index

TI BASIC Programming - TI-83 PLUS BASIC PROGRAMMING TUTORIAL
http://www.ticalc.org/programming/columns/83plus-bas/cherny/

DevHardware TI-83/84 forums: Programming forum discussing coding and everything related to the well-known TI-83/84 graphing calculators

TI-83 BASIC MATH PROGRAMS (ALGEBRA) - Click a filename to download that file
http://www.ticalc.org/pub/83/basic/math/algebra/


Analyze Math Pyramid Problems
http://www.analyzemath.com/Geometry/pyramid_problems.html

Algebra Homework Help:
http://www.algebra.com/: Algebra Homework Help, Algebra Solvers, Free Math Tutors
http://www.algebrahelp.com/: Algebrahelp.com is a collection of lessons, calculators, and worksheets
http://www.myalgebra.com/: Free online algebra solver answers your algebra homework problems