Civil Engineering • Volumetric Spatial Analysis
Kalkulator Objętości Betonu & Liczby Worków
Oblicz metry sześcienne betonu oraz liczbę worków gotowej mieszanki na płyty, fundamenty i słupy.
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
Często Zadawane Pytania
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.