Trail Material Volume Calculator
Calculate material volume needed for a raised trail with ramps and side slopes. Ramp lengths and side slope widths are calculated from the given angles and height.
Volume Calculation Results
1. Cuboid (Table):
- × 1 = -
2. Triangular Prisms (Ramps):
- × 2 = -
3. Triangular Prisms (Side Slopes):
- × 2 = -
4. Pyramids (Corners):
- × 4 = -
Total Volume:
-
Variable Legend and Components
Table: L_t = Table Length, W_t = Table Width, H_t = Table Height
Ramp: L_r = Ramp Length, W_r = Ramp Width (= W_t), H_r = Ramp Height (= H_t)
Side Slope: L_s = Side Slope Length (= L_t), W_s = Side Slope Width, H_s = Side Slope Height (= H_t)
Corner Pyramid: L_p = Pyramid Base Length (= L_r), W_p = Pyramid Base Width (= W_s), H_p = Pyramid Height (= H_t)
1. Cuboid
V = L_t × W_t × H_t
2. Triangular Prism (Ramp)
V = (1/2) × W_t × H_t × L_r
where L_r = H_t / tan(ramp_angle)
3. Triangular Prism (Side Slope)
V = (1/2) × L_t × H_t × W_s
where W_s = H_t / tan(side_slope_angle)
4. Pyramid (Corner)
V = (1/3) × L_r × W_s × H_t
(Pyramid with rectangular base)