Construction Math Formulas Quiz
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An 18' long, 2" x 4" fir stud wall has double top plates, a single bottom plate and fourteen 8' studs. Fir costs $520 per thousand board feet. How much does the lumber for this wall cost? Do not allow for waste.

58.24

Calculate the linear footage for a 2x6 wall that is 8' tall and 10' long. Studs are 16" (OC). Add for the bottom plate and double top plates. Do not account for any waste.

102

What is the maximum size building that can be built on a 100' x 150' lot with a 10 foot setback on each side and the rear, and a 15 foot setback on the front?

10,000 square feet

A 5 gallon bucket of concrete sealer covers 250 sq. feet. How many buckets will it take to seal a concrete slab that is 200' by 125'?

<p>100</p> Signup and view all the answers

A blueprint is drawn to a scale of 3/16" = 1'-0". What will 4 1/2" on the blueprint equate to for the real structure?

<p>24'</p> Signup and view all the answers

A building slab will be 25' x 90' x 8”. How many cubic yards of concrete will be needed? (Note: assume that the grade will be perfectly level and that there will be no crown or slope in the slab. Do not account for waste.)

<p>56 yd³</p> Signup and view all the answers

A commercial piece of property has to be re-seeded. The property is 1,500' x 1,800 '. The lot contains a two story building that is 150' x 150' and a one story building that is 40' x 40'. Also, there is a 100' x 200' parking area and 2,000 sq ft of entrance roads and walkways. What is the cost to re-seed the property if seed is $27 per lb and covers 2,500 sq ft per lb? Add labor as 15% of the seed cost.

<p>32,961</p> Signup and view all the answers

A contractor bids a job for $60,000, plus 10% for overhead and 8% profit. What will be the contractor's bid?

<p>71,280</p> Signup and view all the answers

A contractor is looking to bid on a job to place and finish fiber mesh concrete. The fiber mesh concrete costs the contractor $82 per cubic yard. Regular concrete is $75 per cubic yard and requires steel mesh to be installed, which cost $.10 per square foot. The contractor will use a subcontractor who charges $3.75 per square foot to place and finish the fiber mesh concrete. What is the cost for the contractor to provide a 500 square foot slab that is 4 inches thick? Do not account for waste.

<p>2,383</p> Signup and view all the answers

A cut stake is being set for the excavation of a trench using a building level (transit). The bottom of the trench will be at elevation 94.00 feet. A rod reading of 4.70 feet is taken on a benchmark whose elevation is 102.50 feet. The rod reading on the mark on the cut stake is 6.20 feet. What should the cut stake be marked?

<p>7.00</p> Signup and view all the answers

A rectangular building with a gable roof will be 80' x 36'. The rafters will be spaced 32" on center. How many total rafters will be needed?

<p>62</p> Signup and view all the answers

A sidewalk 100' long slopes at 1/16" per foot. What is the total drop or rise at one end?

<p>0.52'</p> Signup and view all the answers

A subcontractor bids a unit cost of $19.50 per square foot for labor and materials to provide and install ceramic tile. The cost for the subcontractor to do the tile work breaks down to 50% split for profit and material. There is 2500 sq. ft. of floor tile in the project. The owner wants to upgrade the tile. The material will increase $2.25 per square foot. What is the amount of the change order to the original contract amount to upgrade the floor tile? The contract allows a 20% markup.

<p>6,750</p> Signup and view all the answers

An underground tank with inside dimensions of 8' 3/4" x 4' 1/2" and 4' deep will be filled with sand. The total cubic yards of sand required to fill the tank is ______ Make no allowance for compaction of sand.

<p>Less than 5.00</p> Signup and view all the answers

Calculate the number of cubic yards of asphalt to cover a dumpster pad with 6 inches of material, where the length of the pad is 20 feet and the width is 15 feet.

<p>6 cubic yards</p> Signup and view all the answers

Given: A 24' long x 52' wide, 8” thick slab on grade is to be edge-formed with 2x8 pressure treated pine. How many board feet of pine will be required to construct a 2” thick edge-form for the slab on grade described above?

<p>203 board feet</p> Signup and view all the answers

Given: Concrete is $125 per cubic yard. A concrete pump is a flat rate of $625 for this job. You need to pour an 8" x 16" concrete tie beam for a building that is 28' x 50′. Using only the above information, what will it cost to pour the tie beam?

<p>1,375</p> Signup and view all the answers

How many cubic feet are in 1 cubic yard?

<p>27</p> Signup and view all the answers

If materials cost $1.50 per lineal foot and the labor cost is .50 cents per lineal foot, how much will it cost for 350 lineal feet of material to be installed?

<p>700</p> Signup and view all the answers

The courtyard of a condo complex contains 1,600 sq. feet of area. How many brick pavers will be required to cover the courtyard if each paver is 4" x 8"? Allow 5% for waste.

<p>7,560 pavers</p> Signup and view all the answers

The earth removed from a hole has a volume of 45 cubic yards and is found to have a compacted volume of 36 cubic yards. What is the percentage of shrinkage for this volume of earth?

<p>20%</p> Signup and view all the answers

A parking lot is 140 feet wide, and it slopes 1/8th inch per foot. If the highest elevation is 80 feet, what is the lowest elevation?

<p>78.54 feet</p> Signup and view all the answers

A brick wall on a residence is 8 1/16” thick, the furring is 3/4”, plaster board is 3/8", and the plaster is 1/2”. What is the total thickness of the wall?

<p>9 11/16&quot;</p> Signup and view all the answers

A mason estimated the following amounts of mortar required for a job – 5 ½ cubic yards, 11 1/3 cubic yards, and 168 3/4 cubic feet. What is the total amount of mortar required for the job?

<p>23 1/12 cubic yards</p> Signup and view all the answers

If 2 ½" high standard bricks are used to lay a wall with 3/8” mortar joints, what is the height of the wall after nine courses?

<p>23 5/8 inches</p> Signup and view all the answers

If a set of steps is five risers high, and each rise is 7 ¼”, what is the total rise of the steps?

<p>36 1/4 inches</p> Signup and view all the answers

What is the length of a wall consisting of 28 stretchers if each stretcher is 7 1½” and the mortar joint is ½”?

<p>18'-8&quot;</p> Signup and view all the answers

How many risers 7 ½” high are required to construct a flight of concrete steps 3'-1 ½” high?

<p>5 risers</p> Signup and view all the answers

It was estimated that 12,000 bricks would be required for a job. An additional 2% were added because of breakage, bats, and salmon brick. How many bricks should be ordered?

<p>12,240</p> Signup and view all the answers

A large window opening is 72 3/8" by 60 3/8”. What is the area of the opening in square feet? Round to 2 decimal places.

<p>30.34 square feet</p> Signup and view all the answers

A common brick is 8" by 2 ½” by 3 ³¼”. What is its volume in cubic inches?

<p>67.5 cubic inches</p> Signup and view all the answers

A contractor is laying bricks at a pace of 190 bricks per hour. He has estimated that the wall he is laying bricks for will need a total of about 1350 bricks. Approximately how many hours will it take him to complete the wall?

<p>7.1 hours</p> Signup and view all the answers

Common bricks cost $11 per hundred bricks. If 14,250 bricks are ordered, how much would they cost?

<p>1567.50</p> Signup and view all the answers

If it takes 5 bricks to cover 1 square foot of wall space, how many bricks would it take to cover a wall 8' high by 12' long?

<p>480</p> Signup and view all the answers

If a set of steps has 8 risers and the total height of all the steps (total rise) is 56”, what is the height of each step?

<p>7&quot;</p> Signup and view all the answers

If a brick veneer wall requires 5 bricks to lay up 1 square foot, how many square feet would 587 bricks cover? (Round to nearest whole number)

<p>117</p> Signup and view all the answers

What is the height of one stretcher course of brick if the bricks are 2 3/4” high and the mortar joint is 3/8”?

<p>3 1/8&quot;</p> Signup and view all the answers

A homeowner has requested a change order to switch from tile to carpet in the living room. The living room dimensions are 15' 0" x 12' 6”. If tile is $5.25 per square foot and carpet is $26 per square yard, determine the approximate amount the homeowner will save.

<p>442</p> Signup and view all the answers

A contractor is building a 40' x 24' single story house with a 6/12 straight gable roof and 96" from sole plate to top plate. How many 4' x 8' sheets of wall sheathing are required? Do not deduct openings or add waste.

<p>37</p> Signup and view all the answers

How much should a contractor charge for laying 400 bricks if each brick costs $0.09 and the contractor wants to make $0.15 for laying each brick?

<p>96</p> Signup and view all the answers

Clay flue lining is sold in 2' lengths. What is the cost of one 2′ length if 56' of lining costs $98?

<p>3.50</p> Signup and view all the answers

What is the labor cost of laying 12 3/4 cubic yards of rubble stone if the cost to lay rubble stone is $9.50 per cubic yard? (Round up to nearest cent)

<p>121.13</p> Signup and view all the answers

Jerry calculates that 5 cubic yards of sand is needed for a bricklaying job. Because of waste, he adds 5%. How much sand should he order?

<p>5.25 cubic yards</p> Signup and view all the answers

A brick mantel is corbeled out 4 ½” in six courses, how much does each course project past the previous course?

<p>3/4&quot;</p> Signup and view all the answers

If a story pole is 8’-11 ¼” long and divided into 39 equal spaces, what is the length of each space?

<p>2 3/4&quot;</p> Signup and view all the answers

A mason needs to determine if the total cross-sectional area of three pieces of reinforcing steel meet the specifications for a reinforced masonry lintel. The cross-sectional areas of the three pieces are 0.11 sq in, 0.3 sq in, and 1.00 sq in. What is the total cross-sectional area of the three pieces of reinforcing steel?

<p>1.41 square inches</p> Signup and view all the answers

A cement contractor needs to stake out a foundation on a site that is 125' wide and 200' deep. The plot plan showed that the front of the house (placed along the width of the lot) faced south and was 50' from the lot line. The east side of the house was 28.35' from the lot line and the west side of the house was 36.65' from the lot line. How wide is the front of the house?

<p>60'</p> Signup and view all the answers

Study Notes

Construction Math Study Notes

  • Formulas for calculating board feet are available
  • Board feet = Number of pieces × Thickness × Width × Length ÷ 12
  • Convert measurements for calculation purposes
  • Calculate total cost for lumber based on board feet and price per board foot.
  • Linear footage calculations are available for walls.
  • Calculate linear footage by adding footage for each element
  • Calculate linear footage of studs and plates, include relevant measurements
  • Understand setbacks, and how they pertain to building size
  • Setbacks are distances determined by the property line that cannot be built on
  • Calculate buildable area by considering setbacks.
  • Calculate the total area for buildable space by subtracting setbacks from the total lot dimensions
  • Calculate the number of buckets of concrete sealer needed
  • Calculate the scale in blueprints
  • The scale is a ratio that relates a dimension on the blueprint to the corresponding dimension on the structure.
  • Converting measurements on blueprints to real-life dimensions
  • Find the total cubic yardage for a building slab
  • Calculating cubic yards of concrete by multiplying the length, width, and depth in feet. The resulting figure is divided by 27
  • Calculate the cost of re-seeding a property by calculating the total area that requires re-seeding, finding the amount of seed required, considering labor costs
  • Calculate cost of the job by using the bid price, plus 10% overhead, and 8% profit.
  • Calculate the cost of placing and finishing fiber mesh concrete, including the cost of materials and labor and subcontractors charges
  • Calculate the cost of placing and finishing fiber mesh concrete using provided variables
  • Determining elevation of cut stake using benchmark elevation and rod reading
  • Calculating the total number of rafters needed for a building
  • Calculate the riser heights and total rise in a set of steps
  • Calculating the total cost of materials in a project
  • Add all cost of materials for calculation
  • Calculate needed materials based on measurements to be used for project
  • Calculate the total linear footage to be used for boards in a project
  • Calculating total linear footage of boards for a project
  • Using appropriate methods to calculate total area, volume etc for a project
  • Understand and use common knowledge and formulas to solve construction related problems
  • Use the correct formulas and methods while considering all details and information.

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Related Documents

Construction Math Part 1 PDF

Description

Test your knowledge of construction math with this quiz focused on essential formulas for calculating board feet, linear footage, and buildable area. Understand the implications of setbacks and learn how to convert measurements for various calculations in building projects. Perfect for anyone looking to enhance their skills in construction mathematics.

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