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# (MATHS LITERACY - Building a Sewage Sump for a Pump Station

Module by: Harry Govender. E-mail the author

Summary: BUILDING A SUMP FOR A PUMP STATION

## LESSON PLANS IN MATHEMATICS LITERACY.

L.O. 1 and 3

### CONTEXT : Building a SUMP for a sewage pump station.

DETAILS:

• The municipality needs to build a sump to receive, rake, store temporarily and then pump sewage via the tunnel built across and under Durban’s Harbour at the Point. The sewage is finally piped 3,2 km out into the open sea.
• The sump will take the shape of a circular cylinder having a doughnut shape. The central circular platform allows for the pump – shafts to pass through.
• Dimension : outer radius – 25 m

Height - 5 m

Wall width and floor / base width – 60 cm

• Concrete will be used in the construction of the sump.
• The sump will be open on the top and will finally be covered with steel gratings / grids and doors.

### ACTIVITIES.

1. Draw a sketch of the sump using a proper scale and clearly reflect all dimensions
2. Calculate the volume of the concrete required to build the sump.
3. What is the cost of water proofing the inner surface of the sump, if the cost of the water proofing paint is R650 per litre.

Two coats of paint will be applied and every litre covers 3 m2 of wall.

1. If the sump will operate allowing a maximum flow height of 3 m, calculate the maximum volume that the sump can store.

### DAY 1

• Review the drawing of 3 – dimensional objects on 2 – dimensions (start with basic shapes like polygons and prisms)
• Discuss scale drawings

### DAY 2

• Calculating surface area and volume of cylinders

### DAY 3.

• Consolidate concepts and formulae done on day 2.
• Review the concepts of ratio and proportion.

### DAY 4.

• Possible visit/excursion to the pump station at Point.
• Discuss the context of how a PUMP STATION operates.
• Examine and discuss the task of building the sump.
• Sketch – drawing of the sump.

### DAY 5

• Calculating the surface area and volume of the sump to be built and painted.
• Calculating the optimal capacity of the sump.

### DAY 6

• Guided tutorial with changed values for outer and inner radii. Viz.

Outer diameter = 60 m

Inner diameter = 44 m

The remaining dimensions stay unchanged

### DAY 7

• Build a model.

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