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VOLUME FORMULAS

AREA AND VOLUME

FORMULAS

Summary of Contents for CALC-1500

Page 1: ...CALC 1500 Construction Master Calculator Operator s Manual ...

Page 2: ...angle and stair calculations including pitch rise and run Accurate stair rafter roof and framing calculations Easily calculate linear area and volume Durable protective case for construction environments Complete rafter circular rake wall and board feet calculations ...

Page 3: ...laneous Functions 7 Paperless Tape Example 9 Preference Setting 10 Entering Dimensions 11 Linear Dimensions 11 Square and Cubic Dimensions 12 Linear Conversions 12 Square and Cubic Conversions 13 Basic Math Operations 13 EXAMPLES 14 Adding and Subtracting Strings of Dimensions 14 Multiplying Dimensions 14 Dividing Dimensions 15 Percent Calculations 15 Square Area 16 Rectangular Area and Volume 16 ...

Page 4: ...ngle or Degree 22 Concrete Volume for Driveway 23 Concrete Columns 23 Complex Concrete Volume 24 Right Angle Framing 26 Squaring Up a Foundation 27 Pitch Converting Roof Angle 27 Converting Slope 28 Common Rafter Length 28 Regular Hip Valley and Jack Rafters 29 Irregular Hip Valley 31 Rake Wall With Base 32 Stairs 34 Stairs Given Rise and Run 34 Stairs Given Only the Floor to Floor Rise Entering O...

Page 5: ...37 Setting Fractional Resolution 37 Default Settings 38 Auto Shut Off 38 Accuracy Errors 39 Battery 40 Replacing the Battery 40 Reset 40 AREA AND VOLUME FORMULAS 41 Area Formulas 41 Volume Formulas 42 WARRANTY AND REGISTRATION 43 ...

Page 6: ...ey Turns on power Pressing once clears the display Pressing twice clears all temporary values Convert Key Used with the dimensional keys to convert between dimensions or with other keys to access special functions Square Root Key Used to find the Square Root of a non dimensional or area value Recall Key Used with other keys to recall stored values and settings Memory Key Adds the displayed value t...

Page 7: ...ues e g 2 Feet 8 Inch 1 2 Repeated presses during conversions toggle between Fractional and Decimal Feet Inch Key Enters or converts to Inches Entry can be whole or decimal numbers Also used with the key for entering fractional inch values e g 6 Inch 1 2 Repeated presses during conversions toggle between Fractional and Decimal Inches Fraction Bar Key Used to enter Fractions Fractions can be entere...

Page 8: ... Foot is equal to 144 Cubic Inches Weight Key Enters or converts a volume value to Tons Pounds Metric Tons or Kilograms Repeated presses will cycle through these units ARC CIRCLE KEYS Circle Key Calculates Circle Area and Circumference based on entered Diameter Arc Calculates Arc Length or Degree based on entered Diameter and Arc Degree or Length e g if Arc Degree is entered it will calculate Arc ...

Page 9: ...ntil revised or reset A solution will be replaced by its entered value once the calculator is cleared Enters Pitch Ratio e g 5 8 3 Conv Pitch Rise Key Enters or calculates the Rise or vertical leg height of a Right Triangle Run Key Enters or calculates the Run or horizontal leg base of a Right Triangle Diagonal Key Enters or calculates the common or Diagonal leg Hypotenuse of a Right Triangle Typi...

Page 10: ...ngths on the Regular pitched roof side Irregular Jack Calculates Jack rafter lengths on the Irregular pitched roof side Rake Wall Key Finds the stud sizes based on entered Right Triangle values and the stored On Center spacing If a dimensional value is entered before pressing R Wall that value is considered the base and will be added to the stud lengths Hip V R Wall Jack Conv Conv Jack ...

Page 11: ...splays PRESS RESULT 1 Riser Height 2 Number of Risers 3 Riser Overage Underage 4 Tread Width 5 Number of Treads 6 Tread Overage Underage 7 Stringer Length 8 Angle of Incline 9 Stored Run 10 Stored Rise 11 Stored Desired Riser Height 12 Stored Desired Tread Width STAIR DEFAULT VALUES 7 1 2 Desired Riser Height 10 Desired Tread Width Stair ...

Page 12: ...Conv 7 Tread Width Stores a desired Tread width other than 10 default For example enter 24 Inches 2 4 Inch Conv 9 MISCELLANEOUS FUNCTIONS Backspace Key Used to delete entries one keystroke at a time unlike the On C function which deletes the entire entry 1 x Finds the reciprocal of a number e g 8 Conv 0 125 Clear All Returns all stored values to the default settings Does not affect Preference Sett...

Page 13: ...ng Conv 0 continue pressing the 0 digit key until you ve reached the desired Weight per Volume format To recall your setting press Rcl 0 Ton Per CU YD LB Per CU YD LB Per CU FEET MET Ton Per CU M kG Per CU M This value is stored until you change it or perform a Clear All Conv On Center Spacing o c Stores a new on center spacing e g 2 4 Inch Conv 5 The value is used for jack and rake wall stud calc...

Page 14: ... entry or calculation See example below PAPERLESS TAPE EXAMPLE Add 6 Feet 5 Feet and 4 Feet then access the paperless tape mode and scroll back through your entries Then back up one entry exit the tape mode and add 10 Feet to the total KEYSTROKE DISPLAY 0 6 FEET 0 INCH 11 FEET 0 INCH 15 FEET 0 INCH TTL 15 FEET 0 INCH 01 6 FEET 0 INCH 02 5 FEET 0 INCH 03 4 FEET 0 INCH 02 5 FEET 0 INCH TTL 15 FEET 0...

Page 15: ...he key to exit Preferences PRESS AND SETTING FUNCTION First press of Fractional Resolution 1 16 1 32 1 64 1 2 1 4 1 8 1 16 repeats options Second press of Area Displays Std 0 SQ FEET 0 SQ YD 0 SQ M Std repeats options Third press of Volume Displays Std 0 CU YD 0 CU FEET 0 CU M Std repeats options Fourth press of Meter Linear Displays 0 000 M FLOAt M floating point 0 000 M repeats options Conv Conv...

Page 16: ... entering Feet Inch values enter dimensions from largest to smallest Feet before Inches Inches before Fractions Enter Fractions by entering the numerator top number pressing Fraction Bar key and then the denominator bottom number Note If a denominator is not entered the fractional setting value is used Examples of how linear dimensions are entered press On C after each entry DIMENSIONS KEYSTROKE 6...

Page 17: ...ers 1 7 m m LINEAR CONVERSIONS Convert 6 Feet 2 Inches KEYSTROKE DISPLAY On C On C 0 6 Feet 2 Inch 6 FEET 2 INCH Conv Yds 2 055556 YD Conv Inch 74 INCH Conv m 1 880 M Conv cm 187 96 CM Conv mm 1879 6 MM Convert 15 Feet 3 3 4 Inches to Decimal Feet KEYSTROKE DISPLAY On C On C 0 1 5 Feet 3 Inch 3 4 15 FEET 3 3 4 INCH Conv Feet 15 3125 FEET Convert 18 25 Feet to Feet Inches KEYSTROKE DISPLAY On C On ...

Page 18: ... On C On C 0 7 5 Yds Yds 75 SQ YD Conv Feet 675 SQ FEET Convert 50 Cubic Feet to Cubic Yards KEYSTROKE DISPLAY On C On C 0 5 0 Feet Feet Feet 50 CU FEET Conv Yds 1 851852 CU YD BASIC MATH OPERATIONS Your calculator uses standard chaining logic which simply means that you enter your first value the operator the second value and then the Equals sign A 3 2 5 B 3 2 1 C 3 2 6 D 3 2 1 5 This feature als...

Page 19: ... 0 1 5 Feet 3 Inch 3 4 15 FEET 3 3 4 INCH 1 1 Feet 5 Inch 1 4 26 FEET 9 INCH 1 8 2 5 Inch 28 FEET 3 1 4 INCH 2 Inch 1 8 28 FEET 1 1 8 INCH MULTIPLYING DIMENSIONS What is the perimeter of a room with three walls which measure 6 Feet 2 1 2 Inches each KEYSTROKE DISPLAY 3 6 Feet 2 Inch 1 2 18 FEET 7 1 2 INCH Multiply 5 Feet 3 Inches by 11 Feet 6 1 2 Inches KEYSTROKE DISPLAY 5 Feet 3 Inch 1 1 Feet 6 I...

Page 20: ...6 FEET 10 3 16 INCH How many 3 Foot 6 Inch pieces can you cut from one 25 foot board KEYSTROKE DISPLAY On C On C 0 2 5 Feet 3 Feet 6 Inch 7 142857 or 7 whole pieces PERCENT CALCULATIONS Add a 10 waste allowance to 2 39 Cubic Yards KEYSTROKE DISPLAY On C On C 0 2 3 9 Yds Yds Yds 1 0 2 629 CU YD What is 25 of 1 575 KEYSTROKE DISPLAY On C On C 0 1 5 7 5 2 5 393 75 ...

Page 21: ...GULAR AREA AND VOLUME Find the Area and Volume Length 20 Feet 6 1 2 Inches Width 11 Feet 5 1 4 Inches Height 8 Inches First multiply the Length times the Width to find the Area Then multiply the Area times the Height to find the Volume KEYSTROKE DISPLAY On C On C 0 2 0 Feet 6 Inch 1 2 20 FEET 6 1 2 INCH 1 1 Feet 5 Inch 1 4 234 9453 SQ FEET 8 Inch 156 6302 CU FEET Convert to YD Conv Yds 5 801119 CU...

Page 22: ...et 1 0 60 5 SQ FEET 1 5 0 Feet Feet Feet 2 0 180 CU FEET WEIGHT CONVERSIONS Convert 20 Pounds to other weights Tons Metric Tons Kilograms KEYSTROKE DISPLAY On C On C 0 2 0 Weight Weight 20 LB Conv Weight 0 009072 MET Ton Weight 9 071847 kG Weight 0 01 Ton Calculator may not display Pounds upon first press of Weight it depends on which unit was accessed last So press Weight until LB or desired unit...

Page 23: ... Weight 102 0583 MET Ton Weight 102058 28 kG Now convert the above if concrete weighs 2 Tons per Cubic Yard store new Weight per Volume value KEYSTROKE DISPLAY 2 Conv 0 STORED 2 Ton Per CU YD 2 0 Yds Yds Yds 20 CU YD Conv Weight 36287 39 kG Weight 40 Ton Weight 80000 LB Weight 36 28739 MET Ton Conv ALL CLEARED Clear stored Wt Vol Calculator will present values in a different order based on previou...

Page 24: ...ISPLAY CLEAR MEMORY Rcl Rcl CLEAR MEMORY Conv Rcl Memory is semi permanent clearing only when you 1 turn off the calculator 2 Press Rcl Rcl 3 Press Conv Rcl 4 Press Conv Clear All When memory is recalled Rcl M consecutive presses of M will display the calculated average and total count of the accumulated values Example KEYSTROKE DISPLAY 3 5 5 M M 355 M 2 5 5 M M 255 M 7 4 5 Conv M M 745 M Rcl M TT...

Page 25: ...6 Bd Ft M BDFT 10 66667 M 2 1 0 1 8 Bd Ft M BDFT 30 M 2 1 2 2 0 Bd Ft M BDFT 40 M Rcl Rcl BDFT 80 66667 2 7 5 Conv 22 18 CARPENTRY CALCULATING NUMBER OF STUDS Find the number of 16 Inch On Center studs needed for a 15 Feet 3 3 4 Inch wall KEYSTROKE DISPLAY 1 DIVIDE LENGTH BY SPACING On C On C 0 1 5 Feet 3 Inch 3 4 15 FEET 3 3 4 INCH 1 6 Inch 11 48438 11 studs 2 ADD ONE FOR THE END 1 12 48438 12 st...

Page 26: ...n the balusters to be about 4 Inches If each baluster is 1 1 2 Inches wide how many balusters are need in this span KEYSTROKE DISPLAY On C On C 0 2 7 3 5 Inch 273 5 5 Inch 1 2 49 727 Round to nearest whole number i e 50 50 1 49 49 balusters Desired spacing plus baluster width 4 Inches plus 1 1 2 Inch 1 baluster is subtracted since we don t want one on the very end of the handrail ...

Page 27: ... C 0 4 2 Inch Circ DIA 42 INCH Circ AREA 1385 443 SQ INCH Circ CIRC 131 15 16 INCH ARC ANGLE OR DEGREE Find the Arc Angle or Degree of Arc given a 5 Foot Diameter and an Arc Length of 3 Feet 3 Inches KEYSTROKE DISPLAY 1 ENTER CIRCLE DIAMETER AND ARC LENGTH On C On C 0 5 Feet Circ DIA 5 FEET 0 INCH 3 Feet 3 Inch 3 FEET 3 INCH 2 FIND DEGREE OF ARC Conv Circ ARC 74 48 ...

Page 28: ...h 6 FEET 2 INCH 2 Inch 0 434585 CU YD 6 5 Conv 28 25 total cost CONCRETE COLUMNS You re going to pour five Columns each of which has a Diameter of 6 Feet 2 1 2 Inches and a height of 11 Feet 5 Inches How many Cubic Yards of concrete will you need for all five Columns KEYSTROKE DISPLAY On C On C 0 1 ENTER THE DIAMETER OF A CIRCLE 6 Feet 2 Inch 1 2 Circ DIA 6 FEET 2 1 2 INCH 2 FIND THE SURFACE AREA ...

Page 29: ...e going to pour an odd shaped patio 3 3 4 Inches deep with the dimensions shown below First calculate the total Area by dividing the drawing into three individual rectangles and then determine the total Yards of concrete required for this job 25 0 20 6 4 2 9 6 8 6 9 0 ...

Page 30: ...T M M 408 3333 SQ FEET M 2 FIND AREA OF PART B AND ADD TO MEMORY 4 Feet 2 Inch 4 FEET 2 INCH M 8 Feet 6 Inch 35 41667 SQ FEET M M M 35 41667 SQ FEET M 3 FIND AREA OF PART C AND ADD TO MEMORY 9 Feet 9 FEET M 9 Feet 6 Inch 85 5 SQ FEET M M M 85 5 SQ FEET M 4 RECALL AND CLEAR TOTAL AREA STORED IN MEMORY Rcl Rcl M 529 25 SQ FEET 5 FIND TOTAL CUBIC YARDS 3 Inch 3 4 6 125579 CU YD ...

Page 31: ...utions to Right Triangles The solutions are available in any of the linear dimensions offered on the calculator Thus you can solve Right Triangles directly in Feet and Inches Decimal Feet Meters etc Any value of a Right Triangle can be found given two of the four variables 1 Rise 2 Run 3 Diagonal or 4 Pitch ...

Page 32: ... C 0 1 5 Feet 6 Inch Run RUN 15 FEET 6 INCH 1 0 Feet 2 Inch Rise RISE 10 FEET 2 INCH Diag DIAG 18 FEET 6 7 16 INCH PITCH CONVERTING ROOF ANGLE Find the Grade Pitch Ratio Slope and Pitch in Inches if the roof angle is 25 25 KEYSTROKE DISPLAY On C On C 0 2 5 2 5 Pitch PTCH 25 25 Pitch GRD 47 16307 Pitch SLP 0 471631 Pitch PTCH 5 11 16 INCH ...

Page 33: ...3 7 8 INCH Pitch PTCH 18 00 Pitch GRD 32 5 COMMON RAFTER LENGTH Find the Point to Point Length of the Common rafter on a 6 12 Pitched roof with a Span of 28 Feet KEYSTROKE DISPLAY On C On C 0 1 ENTER PITCH 6 Inch Pitch PTCH 6 INCH 2 ENTER HALF THE SPAN AS THE RUN 2 8 Feet 2 14 FEET 0 INCH Run RUN 14 FEET 0 INCH 3 FIND THE RISE Rise RISE 7 FEET 4 FIND THE LENGTH OF THE COMMON RAFTER Diag DIAG 15 FE...

Page 34: ...Find the lengths of the Common Hip Valley and Jack rafters Jack rafters at 16 Inch On Center KEYSTROKE DISPLAY 1 FIND THE COMMON RAFTER LENGTH On C On C 0 6 Feet Run RUN 6 FEET 0 INCH 9 Feet Pitch PTCH 9 INCH Diag common DIAG 7 FEET 6 INCH 16 Hip Valley Rafter Jack Rafters Regular Side Jack Irregular Side Ir Jack On Center Spacing ...

Page 35: ...16 INCH Jack JK 1 5 FEET 10 INCH Jack JK 2 4 FEET 2 INCH Jack JK 3 2 FEET 6 INCH Jack JK 4 0 FEET 10 INCH Jack JK 5 0 FEET 0 INCH Uses standard default 16 Inch On Center To enter a new On Center e g 18 Inches press 1 8 Inch Conv 5 Press Rcl 5 to review stored value This value will remain stored until you re enter a new value or perform a Clear All Conv ...

Page 36: ...CH 7 INCH 1 5 Feet 7 Inch Run RUN 15 FEET 7 INCH Diag DIAG 18 FEET 0 1 2 INCH 2 FIND IRREGULAR HIP RAFTER LENGTH 8 Inch Conv Hip V IPCH 8 INCH Hip V IH V 22 FEET 7 3 8 INCH 3 FIND IRREGULAR JACK LENGTHS Conv Jack IJOC STORED 16 INCH Jack IJ 1 14 FEET 11 13 16 INCH Jack IJ 2 13 FEET 7 INCH Jack IJ 3 12 FEET 2 3 16 INCH Jack IJ 4 10 FEET 9 3 8 INCH Jack IJ 5 9 FEET 4 1 2 INCH Continue pressing Jack ...

Page 37: ...2 Johnson Level Tool 32 EXAMPLES RAKE WALL WITH BASE Find each stud size in a Rake Wall with a peak of 15 Feet 6 Inches at an 8 12 roof pitch and a run length of 5 Feet Use 16 Inches as your spacing default ...

Page 38: ...6 Inch 15 FEET 6 INCH 3 Feet 4 Inch 12 FEET 2 INCH 1 Inch 1 2 12 FEET 0 1 2 INCH 1 Inch 3 4 11 FEET 10 3 4 INCH 3 ENTER BASE STUD LENGTH R Wall BASE 11 FEET 10 3 4 INCH 4 FIND INTERIOR STUD LENGTHS On C On C 0 8 Inch Pitch PTCH 8 INCH 5 Feet Run RUN 5 FEET R Wall BASE 11 FEET 10 3 4 INCH R Wall RWOC 16 INCH R Wall RW01 14 FEET 4 1 16 INCH R Wall RW02 13 FEET 5 7 16 INCH R Wall RW03 12 FEET 6 3 4 I...

Page 39: ...10 Feet 1 Inch a Run of 12 Feet 5 Inches and a desired Riser Height of 7 1 2 Inches default Find the stair values KEYSTROKE DISPLAY 1 ENTER RISE AND RUN On C On C 0 1 0 Feet 1 Inch Rise RISE 10 FEET 1 INCH 1 2 Feet 5 Inch Run RUN 12 FEET 5 INCH Tread Width Inclination Angle Stringer Actual Riser Height Run Rise Rise Run Actual Riser Height ...

Page 40: ...FIND STAIR VALUES Stair R HT 7 9 16 INCH Stair RSRS 16 Stair R 0 1 16 INCH Stair T WD 9 15 16 INCH Stair TRDS 15 Stair T 0 1 16 INCH Stair STRG 15 FEET 7 1 4 INCH Stair INCL 37 28 A in the display means the calculated Riser Height or Tread Width is greater than the stored desired Riser Height or Tread Width ...

Page 41: ... Conv 7 R HT STORED 6 INCH 1 0 Feet 2 Inch Rise RISE 10 FEET 2 INCH 2 CALCULATE STAIR VALUES Stair R HT 6 1 8 INCH Stair RSRS 20 Stair R 0 1 2 INCH Stair T WD STORED 10 INCH Stair TRDS 19 Stair T 0 INCH Stair STRG 18 FEET 6 13 16 INCH Stair INCL 31 49 Stair RUN 15 FEET 10 INCH Stair RISE STORED 10 FEET 2 INCH Stair R HT STORED 6 INCH Stair T WD STORED 10 INCH Note Run is calculated based on Tread ...

Page 42: ... inch and then convert the answer to other fractional resolutions KEYSTROKE DISPLAY On C On C 0 4 4 6 4 0 44 64 INCH 1 6 4 0 45 64 INCH Conv 1 1 16 0 11 16 INCH Conv 2 1 2 0 1 2 INCH Conv 3 1 32 0 23 32 INCH Conv 4 1 4 0 3 4 INCH Conv 6 1 64 0 45 64 INCH Conv 8 1 8 0 6 8 INCH On C On C 0 Note Changing the Fractional Resolution on a displayed value does not alter your Permanent Fractional Resolutio...

Page 43: ... perform a Full Reset press Off hold down and Press On C your calculator will return to the following settings in addition to those listed above PREFERENCE SETTINGS DEFAULT VALUE Fractional Resolution 1 16 Area Display Standard Volume Display Standard Meter Linear Display 0 000 Decimal Degree Display 0 00 Fractional Mode Standard Pressing the Reset button located above the Pitch key will also perf...

Page 44: ...his point you must determine what caused the error and re key the problem Error Codes DISPLAY ERROR TYPE OFLO Overflow too large to display DIV Error Divide by 0 DIM Error Dimension error ENT Error Entry error None Attempt to calculate stairs without entering Rise and Run Auto Range If an overflow is created because of an input and calculation with small units that are out of the standard range of...

Page 45: ...ry as it contains hazardous chemicals REPLACING THE BATTERY While the calculator is off turn the calculator over to remove the battery holder near the center at the top remove the old battery and slide new battery into holder The positive side of the battery should be facing you as you insert the battery into the calculator RESET If your calculator should ever lock up press Reset a small hole loca...

Page 46: ... 2022 Johnson Level Tool 41 AREA AND VOLUME FORMULAS AREA FORMULAS ...

Page 47: ... 2022 Johnson Level Tool 42 VOLUME FORMULAS AREA AND VOLUME FORMULAS ...

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