1. PLUMBING AND SANITATION ENGINEERING
Applying Plumbing System Mathematics

2. VOLUME Genaral Instructional Objectives:
Student gets the picture and applies
cubical and prism calculations.
Specific Instructional Objectives. Student
will be able to:
Calculate volume of a cube and prism correctly.
Calculate surface area correctly
Calculate side length (rib) cubical and prism
correctly
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3. Cube and Prism
Cube consists of six sides, each side area is in the form of Square. The volume of a cube is calculated by multiplying the ribs.
V = a . a . a
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4. The length of a rib of a cube is calculated with formula : a = 3 v
Sulfur Surface Area is the wide of six sides area.
The length of a rib of a cube is calculated with formula : a = 3 v
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5. Prism
It is similar of having 2 of the same parallel horizontal and vertical side areas in the form of parallelogram.
Prism is named according to the form of its base.
Prism volume is the base wide multiplied by height. (height is interval of 2 parallels base)
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6. Surface area is mantle added with wide of 2 parallel bases.
Prism mantle is also called as erect side wide is Perimeter multiplied by height.
For a long rectangle prism :
K = 2(a + b)
Surface area is mantle added with wide of 2 parallel bases.
S = M + 2 A
M = K . h
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7. Practice Sheet :
1.Volume calculate and surface area 4 fruit of having each cube is flank 1,18 m/ 12,6 m/ 0,86 m/ 37,8 m !
2.How much/many litre contents of a cubic water tub having flank 0,60 m/ 1,2 m/ 75 cm?
3.Calculate in m3 :
8 gallery of mine practical 18 cm/ 18 cm, height 2,70 m
4 piling 34 cm/ 34 cm, height 3,26 m
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8. 4.A moat penampang the straighten of is in the form of isosceles trapezium (Sees drawing). Contains sludge in 50 cm. How many m3 is the sludge volume if length 70 m.
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9. Cylindrical Rectangle ABCD turned around at side BC hence :
1.Every point at line AD paints a circle at
its(the area BC.
2.Quad Line forms arch area named by
bedding.
3. Circles formed by AB and DC called as
platen base.
Interval of cylindrical base is named [by] platen height.
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10. Volume of platen is base wide times height.
V = d2 . 0,785 . h
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11. Calculates holey platen volume (pipe)
Volume = Circle cross-area . Middle
perimeter
Surface area = Perimeter revolution . Middle perimeter
V = Kp . dm 
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12. The cylinder length is 70 mm and diameter 30/50 mm.
EXAMPLE OF PROBLEM :
The cylinder length is 70 mm and diameter 30/50 mm.
Count the wide of the outer surface (cm2) and its volume (cm3).
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13. Answer: Known that: l = 70 m = 7 cm d = 30 mm = 3 cm D = 50 mm = 5 cm
M = l . D . 
= 7 cm . 5 cm . 3,14 = 109,9 cm2
v = A . dm . 
V = 7cm2. 4cm . 3,14 = 87,92 cm3
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14. THE PROBLEM OF TRAINING
1.Gum ring volume calculate which inner diameter 340 mm, like the following figure.
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15. 2. Material volume calculate required to make water tub of the size like drawing.
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16. 3. Pipe having wall iron plate with external diameter 175 mm and inner
diameter 115 medium mm height
420 mm.
How big is the volume ( in dm3) ?
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17. HAPPY CALCULATING
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