essay 2-3 pages

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CSMT 441-Cost and Estimating I

LECTURE 1: Mathematics Review

Review of Estimating Mathematics

• Estimating usually entails determination of lengths, areas, volumes, weights in order to determine quantities of materials needed for project completion; equipment and labor can be part of it – This may require conversion of quantities from one unit to the other to

have same units and understanding of geometry, trig, algebra, calculus

– May need determining linear distances from corner to corner

A B

10ft ?

40ft

– Calculating area enclosed by straight lines or curves

5ft 4ft find area and linear length around it

10ft

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Review of Estimating Mathematics

– Common geometrical figures

Review of Estimating Mathematics

Conversion factors

Length 1 mile = 5,280 ft I yard (yd) = 3ft 1 foot = 12 inches (in)

Weight 1 ton = 2, 000 pounds (lb) 1 hundredweight (cwt) = 100 lb 1 lb = 16 ounces (oz)

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Review of Estimating Mathematics

• Find the area of a square whose length is 12 inches

• Find the area of a triangle whose base is 12 inches and height is 24 inches

• Find the area of a trapezium whose parallel sides are 12 and 16 inches long with a distance between the parallel sides being 24 inches

• Find the volume of a cylinder whose radius is 1 foot and height is 20 feet

• Find the volume of a column whose height is 10 feet and length is 3ft and width 2 feet

• Convert 216 square inches into square feet

Review of Estimating Mathematics

• Find the volume of a gutter and curb with a cross section of 1.7sqft and length is 200ft

• Find the volume of concrete in a slab of 6’’ by 10ft by 20ft (give your answer in cubic feet and cubic yards)

• Find the volume of the following solid with a pyramidal vertical height of 12ft and cuboidal base of 10ft by 6ft by 4ft

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Review of Estimating Mathematics

240’’

50’

130’