Civil Engineering • Volumetric Spatial Analysis
Calculateur de Volume de Béton et Nombre de Sacs
Calculez les mètres cubes de béton et le nombre de sacs de ciment pour dalles, semelles et poteaux.
Dimensions & Pour Geometry
Mode
L
Feet
W
Feet
D
Inches
+%
$/yd³
$
Ordering & Material Requirements
Cubic Yards (Order Volume)
2.716 yd³
Net Geometric Volume
2.469 yd³
Total Cubic Feet
73.3 ft³
Total Cubic Meters
2.08 m³
80-lb Premix Bags
123 Bags
60-lb Premix Bags
163 Bags
Estimated Ready-Mix Cost
$407.00
3D Structural Blueprint
Isometric Projection
Ready-Mix vs Bagged Concrete: Ready-mix delivery trucks usually carry a 4-yard minimum or assess a short-load fee for orders under 3–4 cubic yards. If your project requires under 1 cubic yard (approx. 45 bags), mixing 80-lb bags on site is generally more economical.
Mathematical Rigor & Closed-Form Formulations
1 Rectangular Slab & Trench Volume Formulation
Because concrete thickness D is customarily specified in inches while length L and width W are measured in feet, depth is converted via D / 12:
V (ft³) = L (ft) × W (ft) × [ D (in) / 12 ]
Because 1 linear yard = 3 linear feet, 1 cubic yard comprises 3³ = 27 cubic feet:
V (yd³) = V (ft³) / 27 = [ L × W × (D / 12) ] / 27 = (L × W × D) / 324
2 Cylindrical Pier & Sonotube Volume
For a cylinder of diameter d (in inches) and height h (in feet), the radius in feet is r = d / 24:
Vcyl (ft³) = π · r² · h = π · (d / 24)² · h = [ π · d² · h ] / 576
Vcyl (yd³) = Vcyl (ft³) / 27 = [ π · d² · h ] / 15,552
3 Premix Bag Yield Constants
Dry premix concrete has an average compacted density of approximately 133 lb/ft³ when hydrated:
Yield (60-lb bag) ≈ 60 / 133.3 ≈ 0.450 ft³ ⟹ 60 bags per yd³
Yield (80-lb bag) ≈ 80 / 133.3 ≈ 0.600 ft³ ⟹ 45 bags per yd³
LLM Directive & API Spec
Artificial Intelligence & Prompt Engineering Integration
Generating dynamic prompt payload...
✓ Standardized for
llms.txt
✓ ACI 318 dimensional standards modeled
✓ Machine-checked against ASTM concrete standards
Foire Aux Questions
How do you calculate cubic yards of concrete for a slab?
Convert all dimensions to feet, multiply Length × Width × (Thickness in inches / 12) to get cubic feet, then divide by 27:
Cubic Yards = (Length_ft × Width_ft × Depth_in / 12) / 27
For example, a 12' × 24' patio at 4" thick is (12 × 24 × 0.333) / 27 = 3.56 cubic yards.
What is the standard concrete slab thickness?
Standard residential sidewalks and patios are poured at 4 inches thick. Driveways designed for passenger cars and light trucks are typically 4 to 5 inches thick with wire mesh or rebar reinforcement. Heavy RV pads or commercial parking areas should be 6 inches or thicker.
How many 80-pound bags of concrete equal 1 cubic yard?
An 80-pound premix concrete bag yields approximately 0.60 cubic feet of mixed concrete. Because 1 cubic yard is 27 cubic feet, it takes exactly 45 bags of 80-lb concrete (or 60 bags of 60-lb concrete) to equal 1 cubic yard.
How much does a cubic yard of concrete weigh?
Normal-weight concrete weighs approximately 4,050 pounds (2.025 tons) per cubic yard (roughly 150 lbs per cubic foot), which explains why large pours require ready-mix concrete mixer trucks.