Determination of Surface Area and Volumes of Various Shapes

0
115

Title

To determine the surface area and volume of various shapes and objects in various system of units.

Apparatus:

  • Steel cabinet
  • Steel tape
  • Wooden cube, wooden beam
  • Concrete cube/cylinder
  • Brick
  • In addition to above samples students are asked to measure the Geo tech lab and play ground of NICE

Purpose:

To understand the concept of area, volume and different conversion factors.

Related Theory:

Surface Area:-

Surface area is the area of contact surface with atmosphere or load

Volume:-

The space occupied by a body is called volume.

System of Units:-
  • Unit is a system which is used for measurement of various physical quantities.
  • There are different system of units e.g. SI System, FPS System, MKS and CGS System.
Quantity Dimensions SI System FPS System
Mass    M Kilogram(kg) Slug
Length    L Meter(m) Foot(ft)
Time    T Second(s) Second(s)
Force    F Newton(N) Pound(lb)

Conversion Factors:

Length:

         1 m=3.281ft

         1 yard=3 ft

         1 mile = 1760 yds = 1.6 km

Area:

         1 m2=10.764ft2

              1 hector =100*100m=10,000m2 = 2.47 acre

         1 acre=8 kanals = 43560ft2(220*198)

         1 marla =272.25ft2 or 272ft2

         1 marla =225 ft2 (Residential Plot)

         1 marla = 9 sersae

Volume:

         1 m3= 1.3079 Yd3 = 35.311ft3

             1 m3 of water = 219.97 gallons (Uk)=264.170 gallons (US)

         1 liter=1 dm3

Mass:

         1 ton =1000kg

         1 ton(UK)=1061kg=2240 lbs

         1 ton(US)=908.1kg=2000lbs

         1 kg=2.204 lbs

Force:

         1 kg=9.807N=2.204 lbf

         1 lb=4.448N

Pressure or Stress:

         1 MPa=145.04 Psi

         1 m of H2O=3.281ft of H2O

                    =73.424 mm of Hg

                    = 1.420 Psi

                    = 9.789 k Pa

         1 bar= 100 k Pa

              =75.060mm of Hg

              =14.504 Psi

Prefixes:

Prefix Factor Remarks
Tetra(T) 1012
Giga(G) 109
Mega(M) 106 Recommended in SI System
Kilo(K) 103
Hecto(H) 102 Not Recommended in SI
Deca(da) 10 System of units
Deci(d) 10-1
Centi(c) 10-2
milli(m) 10-3
Micro(u) 10-6 Recommended in SI system
Nano(n) 10-9

Procedure:

  1. Place the specimen over a table and measure the dimensions i.e. length, width and height with the help of measuring tape.
  2. Note down these readings. Likewise measure the dimensions of each specimen i.e, concrete cube, concrete cylinder, brick, wooden cabinet, wooden cube and wooden beam.
  3. Note down all these readings and then calculate the surface area of each side of these objects and then calculate the volume of these objects. Convert these values into various systems of units
  4. Measure the size of your lab and play ground with the help of cloth tape and calculate their respective areas. Convert these areas into various systems of units.
  5. Tabulate all your calculations in a convenient way.

Tabulation Of Data

Quantity       Wooden Cabinet

L=    cm,W=      ,H=

 

    Cube/Cylinder/Brick

L=    cm, W=   cm,H=

 

CGS SI FPS CGS SI FPS
Area of face A

(L*H)

Area of face B

(H*W)

Area of face C

(L*W)

Surface Area

2(A+B+C)

Volume

(L*W*H)

 

Note: Only one table has been shown here for students guidance, students should prepare the tables according to the no of

specimen provided.

Area of Lab and Play Ground:

Size of Car Park:   Length =——————, Width= ————————-

Size of Play Ground: Length =——————-, Width =——————-

Size of Shed:        Length = ——————-, Width = —————————-

            Area    Area of lab   cm2   m2    ft2  Marla  Kanal   Acre   Hector
Car Park
Play Ground
Shed

 

LEAVE A REPLY

Please enter your comment!
Please enter your name here