Concrete volume, abbreviated as V, is a mixture of gravel, Portland cement, rock and sand. It is the amount of space or capacity occupied by concrete in a given structure. The volume of concrete is a crucial parameter in construction, as it determines the amount of material needed for a specific project. When working with concrete in construction projects, it's important to account for factors such as wastage, variations in dimensions, and the type of concrete mix being used. Engineers and construction professionals carefully calculate concrete volumes to ensure that they order the right amount of materials for a project, avoiding both excess costs and material shortages.
Concrete Volume Formula |
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\( V \;=\; h \cdot l \cdot w \) (Concrete Volume) \( h \;=\; \dfrac{ V }{ l \cdot w }\) \( l \;=\; \dfrac{ V }{ h \cdot w }\) \( w \;=\; \dfrac{ V }{ h \cdot l }\) |
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| Symbol | English | Metric |
| \( V \) = Volume of Concrete | \(ft^3\) | \(m^3\) |
| \( h \) = Height of Concrete | \(ft\) | \(m\) |
| \( l \) = Length of Concrete | \(ft\) | \(m\) |
| \( w \) = Width of Concrete | \(ft\) | \(m\) |
Total Ratio of Cement Ingredients Formula |
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\( T \;=\; r_c + r_s + r_{co} \) (Total Ratio of Cement Ingredients) \( r_c \;=\; T - r_s - r_{co} \) \( r_s \;=\; T - r_c - r_{co} \) \( r_{co} \;=\; T - r_c - r_s \) |
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| Symbol | English | Metric |
| \( T \) = Total Ratio of Ingredients | \(dimensionless\) | \(dimensionless\) |
| \( r_c \) = Cement Ratio | \(dimensionless\) | \(dimensionless\) |
| \( r_s \) = Sand Ratio | \(dimensionless\) | \(dimensionless\) |
| \( r_{co} \) = Coarse Ratio | \(dimensionless\) | \(dimensionless\) |
Cement Guantity Formula |
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\( Q_c \;=\; \dfrac{ r_c }{ T } \cdot V \) (Cement Guantity) \( r_c \;=\; \dfrac{ T \cdot Q_c }{ V }\) \( T \;=\; \dfrac{ r_c \cdot V }{ Q_c }\) \( V \;=\; \dfrac{ T \cdot Q_c }{ r_c }\) |
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| Symbol | English | Metric |
| \( Q_c \) = Cement Quantity | \(mol\) | \(mol\) |
| \( r_c \) = Cement Ratio | \(dimensionless\) | \(dimensionless\) |
| \( T \) = Total Ratio of Ingredients | \(dimensionless\) | \(dimensionless\) |
| \( V \) = Concrete Volume | \(ft^3\) | \(m^3\) |
Coarse Gravel and Rock Quantity Formula |
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\( Q_{co} \;=\; \dfrac{ r_{co} }{ T } \cdot V \) (Coarse Gravel and Rock Quantity) \( r_{co} \;=\; \dfrac{ Q \cdot T }{ V }\) \( T \;=\; \dfrac{ r_{co} \cdot V }{ Q }\) \( V \;=\; \dfrac{ Q \cdot T }{ r_{co} }\) |
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| Symbol | English | Metric |
| \( Q_{co} \) = Coarse Quantity (Gravel and Rock) | \(dimensionless\) | \(dimensionless\) |
| \( r_{co} \) = Coarse Ratio | \(dimensionless\) | \(dimensionless\) |
| \( T \) = Total Ratio of Ingredients | \(dimensionless\) | \(dimensionless\) |
| \( V \) = Concrete Volume | \(ft^3\) | \(m^3\) |
Cement Sand Quantity Formula |
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\( Q_s \;=\; \dfrac{ r_s }{ T } \cdot V \) (Cement Sand Quantity) \( r_s \;=\; \dfrac{ Q_s \cdot T }{ V }\) \( T \;=\; \dfrac{ r_s \cdot V }{ Q_s }\) \( V \;=\; \dfrac{ Q_s \cdot T }{ r_s }\) |
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| Symbol | English | Metric |
| \( Q_s \) = Sand Quantity | \(dimensionless\) | \(dimensionless\) |
| \( r_s \) = Sand Ratio | \(dimensionless\) | \(dimensionless\) |
| \( T \) = Total Ratio of Ingredients | \(dimensionless\) | \(dimensionless\) |
| \( V \) = Concrete Volume | \(ft^3\) | \(m^3\) |
