Part III : Application

Part III

FORMULA FOR EACH PART

VOLUME FOR PART 1:

CYLINDER :radius
Formula :3.14x(radius)2 x height
= 3.14cm x (1.45cm)2x 4cm
= 26.41cm3

VOLUME FOR PART 2:

Formula :(a + b) x 0.5 x depth x width
= (6.9 + 8)cmx 0.5 x 2.0cm x 1cm
= 14.9cm x 0.5 x 2.0cm x 1.0cm
=14.9cm3

VOLUME FOR PART 3:

Formula : length x width x height
= 8cmx 2cm x 2.4cm
= 38.4cm3

VOLUME FOR PART 4:

Formula :(a + b) x 0.5 x depth x width
= (8 + 7.5)cmx 0.5 x 2.0cm x 0.4cm
= 15.5cm x 0.5 x 2.0cm x0.4cm = 6.2cm3

VOLUME FOR PART 5

Formula : length x width x height
= 7cmx 1.5cm x 6.2cm
= 65.1cm3

VOLUME FOR PART 6(same as part 2) :

Formula :(a + b) x 0.5 x depth x width
= (6.9 + 8)cmx 0.5 x 2.0cm x 1cm
= 14.9cm x 0.5 x 2.0cm x 1.0cm
=14.9cm3

VOLUME FOR PART 7 (same as part 3):

Formula : length x width x height
= 8cmx 2cm x 2.4cm
= 38.4cm3

VOLUME FOR PART 8 :

Formula :(a + b) x 0.5 x depth x width
= (8 + 6)cmx 0.5 x 2.0cm x 1.0cm
= 14.0cm x 0.5 x 2.0cm x 1.0cm
= 14.0cm3

TOTAL VOLUME OF THE MODEL :

Volume :
= Part 1 + Part 2 + Part 3 + Part 4 + Part 5 + Part 6 +Part 7 + Part 8
= 26.41cm3 + 14.9cm3 + 38.4cm3 + 6.2cm3 + 65.1cm3 + 14.9cm3 + 38.4cm3 + 14.0cm3
= 218.31cm3

Actual volume = 250ml

AREA FOR EACH PART

AREA FOR PART 2 :

Formula for area trapezium = ½ ( a + b ) h
= ½ ( 8 + 6 ) 1
= 7cm²

AREA FOR PART 3 :

Formula for rectangle = length x width
= 8 x 2.5
=20cm²

AREA FOR PART 4 :

Formula for trapezium = ½ ( a + b ) h
= ½ (7 + 8) 0.6
= 4.5cm²

AREA FOR PART 5 :

Formula for rectangle = length x width
= 7 x 6
= 42cm²

AREA FOR PART 6 :

Formula for trapezium = ½ (a+b) h
= ½ (7+8) 0.6
= 4.5cm²

AREA FOR PART 7 :

Formula for rectangle = length x width
= 8 x 2.4
= 19.2cm²

AREA FOR PART 8 :

Formula for trapezium = ½ (a+b) h
= ½ (6+8) 1
= 7cm²

TOTAL AREA OF THE MODEL :

Area :
= Part 2 + Part 3 + Part 4 + Part 5 + Part 6 +Part 7 + Part 8
= 7cm² + 20cm² + 4.5cm² + 42cm² + 4.5cm² + 19.2cm² + 7cm²
= 104.2cm²