The Pentagon Shaped Slab Concrete Volume Calculator efficiently calculates the concrete needed for a pentagon-shaped slab. This calculator requires the length of a side (in feet and inches) and the pentagon slab's depth (in inches) as inputs. It calculates and displays results for the area in square feet, perimeter in linear feet, and the total concrete volume in cubic feet, cubic yards, and cubic metres.
one cubic foot (ft³)= 0.037037037037037 cubic yards (yd³) one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
Side length, s = 4 feet Depth, d = 6 inches
Using the formula:
Area = 5/4 * 4² * cot(π / 5)
Area = 1.25 * 16 * 1.376381920471174 = 27.5276 feet
Perimeter = 5 * s
Perimeter = 5 * 4 = 20 feet
The volume V of concrete is the area multiplied by the depth (converted to feet):
V = A * depth in feet
Convert depth from inches to feet:
Depth (feet) = 6 ÷ 12 = 0.5 feet
V = 27.5276 * 0.5 = 13.7638 cubic feet 13.7638 * 0.037037037037037 = 0.5098 cubic yards 13.7638 * 0.028316846592 = 0.3897 cubic metres
Area: 27.528 square feet Perimeter: 20 feet Concrete Volume: 13.764 cubic feet 0.51 cubic yards 0.39 cubic metres
This tool helps estimate the required concrete volume for pentagon-shaped slabs, aiding in construction planning and material estimation.