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Sample Solution for CPCCCA3018 - Construct, erect and dismantle formwork for stairs and ramps

Calculate material requirements for constructing and erecting formwork for stairs and ramps by using the following data.

Width of tread = 0.3m

Height of riser = 0.15m

Length of tread = 1.20m,

No. of steps = 20

Calculate the total area of formwork required for the construction of formwork.

  1. 1
  2. 2

Maths Assignment Sample

Q1:

Answer :

Step 1: Calculate the area of formwork for the treads
The area of each tread is given by the formula:
Area of tread =
Length of tread × Width of tread Area of tread = Length of tread × Width of tread
Substituting the given values:

Area of tread=1.20 m×0.30 m=0.36 m2Area of tread=1.20m×0.30m=0.36m2
Since there are 20 steps, the total area of formwork for the treads is:
Total area of treads=0.36 m2×20=7.2 m2Total area of treads=0.36m2×20=7.2m2
Step 2: Calculate the area of formwork for the risers
The area of each riser is given by the formula:
Area of riser=Height of riser×Length of treadArea of riser=Height of riser×Length of tread
Substituting the given values:
Area of riser=0.15 m×1.20 m=0.18 m2Area of riser=0.15m×1.20m=0.18m2
Again, with 20 steps, the total area of formwork for the risers is:
Total area of risers=0.18 m2×20=3.6 m2Total area of risers=0.18m2×20=3.6m2
Step 3: Calculate the total area of formwork
Now, add the total area for the treads and risers to get the total area of formwork required:
Total area of formwork=Total area of treads+Total area of risersTotal area of formwork=Total area of treads+Total area of risersTotal area of formwork=7.2 m2+3.6 m2=10.8 m2
Total area of formwork=7.2m2+3.6m2=10.8m2
Final Answer:
The total area of formwork required for constructing the stairs is 10.8 square meters (m²).