The Isosceles Trapezoid Slab Concrete Volume Calculator is an essential tool for accurately estimating the concrete required for an isosceles trapezoid-shaped slab. This calculator helps construction professionals and DIY enthusiasts calculate the total concrete volume needed for a slab with a unique trapezoidal shape, commonly used in foundations, patios, and walkways where a straight, angled side profile is desired.
An isosceles trapezoid is a trapezoid with one pair of parallel sides and two equal non-parallel sides.
one cubic foot (ft³) = 0.037037037037037 cubic yards (yd³) one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
Base Length 1 = 8 feet Base Length 2 = 12 feet Vertical Height = 6 feet Slab Depth = 4 inches
Area=((Length 1 + Length 2) * Height) / 2 where: Length 1 and Length 2 are the lengths of the parallel sides of the trapezoid. Height is the perpendicular distance between Length 1 and Length 2.
Area = (12 + 8) * 6 ÷ 2 Area = 20 * 6 ÷ 2 = 120 ÷ 2 = 60 square feet
Both slanted sides of the trapezoid (left and right) are assumed to be of equal length due to symmetry.
L= √((Base Length 2 - Base Length 1) / 2)² + (Vertical Height)²
where:
Base Length 2: The longer of the two parallel sides.
Base Length 1: The shorter of the two parallel sides.
L= √((12 - 8) ÷ 2 )² + (6)² L= √(2)² + 6² L= √40 = 6.32 feet
Perimeter = BaseLength 1 + Base Length 2 + 2 * L
Perimeter = 12 + 8 + 2 * 6.32 = 12 + 8 + 12.64 = 32.64 feet
The volume V of concrete is the area multiplied by the depth (converted to feet):
V = A * depth in feet
4 ÷ 12 = 0.3333 feet 60 * 0.3333 = 20 cubic feet 20 * 0.037037037037037 = 0.74 cubic yards 20 * 0.028316846592 = 0.566 cubic metres
Area: 60 square feet Perimeter : 32.65 feet Concrete Volume: Cubic Feet: 20 cubic feet Cubic Yards: 0.74 cubic yards Cubic Metres: 0.566 cubic meters
This calculator is an efficient tool for estimating the concrete volume for trapezoid slabs in construction projects.