Maths Revision

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Author:
Anonymous
ID:
298993
Filename:
Maths Revision
Updated:
2015-03-23 08:25:27
Tags:
MathsA
Folders:
Maths
Description:
Maths A Revision: -Trigonometry -Footings and Slabs -Bricking
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  1. Calculate the total linear meters in the following timber order: 200x50 Rough Sawn Hardwood 12@1.5m, 9@2.78m, 12@2.5m and 10@1.7m. 
    • Length:
    • 1. 12x1.5=42m 
    • 2. 9x2.78=25.02m
    • 3. 12x2.5=30m
    • 4. 10x1.7=17m

    • Total Length= L1+L2+L3+L4
    •                   = 42+25.02+30+17
    •                   = 114.02m

    the total linear meters required for this is 114.02m. 

  2. As a building estimator, how many bricks would be required to build a wall 18.6 meters long by 2.8 meters high. The wall is one brick thick and there are 50 bricks per square meter. 
    • A=LxW
    •   =18.6x2.8
    •   =52.08m2

    • No. of bricks required= Ax50 
    •                                = 52.08x50
    •                                = 2604 bricks 

    2604 bricks will be required to build a wall that is 18m x 2.8m. 

  3. The walls of a lounge room which measures 12500 x 8700 are to be painted.  The room has one large entrance 2300 x 1800 and two windows 1900 x 1500.  The ceiling height of the room is 2600.  It is estimated that the net wall area will be less than 80 m². Is this estimation correct
    • Aw1=(LxW)x2
    •       =(12.5x2.6)x2
    •       =65m2

    • Aw2=(LxW)x2
    •       =(8.7x2.6)x2
    •       =45.24m2

    • Ad=LxW
    •     =1.8x2.3
    •     =4.14m2

    • Aw=(LxW)x2
    •      =(1.9x1.5)x2
    •      =5.7m2

    • Total Area= (Aw1+Aw2)-(Ad+Aw)
    •                =(65+45.24)-(4.14+5.7)
    •                =110.24-9.84
    •                = 100.4m2

    The total area for the walls is 100.4m2. Therefore the estimation of the wall area will be less than 80m2 is incorrect. 

  4. Below is a sketch (bird’s eye view, not drawn to scale) of the slab of a modern home.  Footings will be dug inside the slab and are 350mm wide and 550mm deep.  If concrete costs $124 for the first cubic metre and then $87/m3 thereafter will my estimate of $2000 be correct?.  INCLUDE 10 % WASTAGE IN YOUR CALCULATIONS. Explain your reason mathematically. 


    • Length:
    • 1. 17.5m
    • 2. 3-0.45-0.45=2.1m
    • 3. 4.5+0.45=4.95m
    • 4. 7-0.45=6.55m
    • 5. 13m
    • 6. 10-0.45-0.45=9.1m 

    Total Length= 53.2m 

    • Af=LxW
    •    =53.2x0.35
    •    =18.62m2

    • Vf=AH
    •    =18.62x0.55
    •    =10.24m2

    • Slab: 
    • A1=LxW
    •     =13x10
    •     =130m2

    • A2=LxW
    •     =4.5x3
    •     =13.5m2

    • Total Length= A1+A2
    •                   = 130+13.5
    •                   = 143.5m2

    • Vs=AH
    •     = 143.5x0.55
    •     = 78.93m3

    • Total Volume= Vf+Vs
    •                    = 10.24+78.93
    •                    = 89.17m3

    • Wastage= T.V. x 110%
    •             = 89.17x1.1
    •             = 98.09m3 

    • Cost (1st m) = 124 x 1
    •                    = $124

    • Cost (Thereafter) = m3x$/m3
    •                           = 97.09 x 87
    •                           = $8446.83

    • Total Cost= Cost(1st)+Cost(there)
    •               = 124 +8446.83 
    •               = $8570.83

    Therefore the estimation of $2000 is incorrect. it will cost $8570.83. 

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