Estimate the quantities of Earthwork in excavation in foundation, Concrete in foundation, and Brickwork in superstructure based on the given building plan.

Steps to Solve

1. Calculate Earthwork in Excavation for Foundation

   The foundation dimensions are given as a rectangular area. The width of the foundation is $0.60 , m$, and the depth is $0.90 , m$.

   Length of foundation = length of the building = $5.00 , m$.

   To find the volume: $$ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} = 5.00 \times 0.60 \times 0.90 $$

2. Calculate Concrete in Foundation

   The volume of concrete in the foundation includes the same dimensions as the excavation but adjusts the depth for the footings. Assume the thickness of the concrete sloped section in the foundation is $0.30 , m$.

   Volume of concrete: $$ V_c = \text{Length} \times \text{Width} \times \text{Total Depth} = 5.00 , m \times 0.60 , m \times (0.90 + 0.30) $$

3. Calculate Brickwork in Superstructure

   The superstructure contains walls of height $3.50 , m$ and the same periphery dimensions as the foundation. The dimension of each wall is $0.30 , m$.

   To find the total volume of brickwork:

   • First, calculate the perimeter for brickwork: $$ \text{Perimeter} = 2 \times (5.00 , m + 4.30 , m) $$

   Then, multiply by the wall thickness and height: $$ V_b = \text{Perimeter} \times \text{Thickness} \times \text{Height} = \text{Perimeter} \times 0.30 \times 3.50 $$