All Volume Calculators
Explore our complete suite of 16 dedicated 3D volume tools. Each calculator is mobile-first, starts clean with zero distractions, and provides live step-by-step arithmetic.
Cube Volume Calculator
Calculate volume of cubic containers, storage boxes, and dice from side length.
Rectangular Prism / Box Volume Calculator
Calculate rectangular boxes, cargo containers, rooms, and packages.
Cylinder Volume Calculator
Calculate volume of round water tanks, industrial drums, columns, and circular pipes.
Sphere Volume Calculator
Calculate volume and surface area of balls, globes, domes, and spherical tanks.
Cone Volume Calculator
Calculate volume of funnels, conical mounds, traffic cones, and grain hoppers.
Capsule Volume Calculator
Calculate volume of pharmaceutical capsules and industrial bullet pressure tanks.
Spherical Cap / Dome Volume Calculator
Calculate volume of architectural domes, shallow bowls, dishes, and spherical cutoffs.
Conical Frustum (Truncated Cone) Volume Calculator
Calculate volume of buckets, paper cups, planters, and tapered containers.
Ellipsoid Volume Calculator
Calculate volume of rugby balls, watermelons, eggs, and oblate spheroids.
Square Pyramid Volume Calculator
Calculate volume of square pyramids, pyramid roofs, and monuments.
Rectangular Pyramid Volume Calculator
Calculate volume of rectangular pyramids and hip roofs.
Triangular Prism Volume Calculator
Calculate volume of A-frame tents, wedges, Toblerone boxes, and roof trusses.
Hollow Cylinder / Pipe Volume Calculator
Calculate pipe wall material volume and internal liquid capacity for plumbing & drainage.
Torus (Donut / O-Ring) Volume Calculator
Calculate volume and surface area of donuts, o-rings, tire tubes, and magnetic toroids.
Trapezoidal Prism / Trench / Trough Volume Calculator
Calculate volume of drainage swales, farm troughs, trenches, and canals.
Horizontal Cylinder Tank (Liquid Fill Depth) Volume Calculator
Calculate exact liquid volume in horizontal cylindrical oil, fuel, and water storage tanks.
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3D Geometric Volume Formulas Quick Reference
Standard mathematical formulas and variable definitions for all 16 shapes
| Shape | Category | Standard Formula | Variables | Tool Link |
|---|---|---|---|---|
| Cube | Basic 3D | V = a^3 | a | Calculate → |
| Rectangular Prism / Box | Basic 3D | V = l \times w \times h | l, w, h | Calculate → |
| Cylinder | Curved Shapes | V = \pi r^2 h | r, h | Calculate → |
| Sphere | Curved Shapes | V = \frac{4}{3} \pi r^3 | r | Calculate → |
| Cone | Curved Shapes | V = \frac{1}{3} \pi r^2 h | r, h | Calculate → |
| Capsule | Curved Shapes | V = \pi r^2 (\frac{4}{3}r + a) | r, a | Calculate → |
| Spherical Cap / Dome | Curved Shapes | V = \frac{\pi h}{6}(3r^2 + h^2) | r, h | Calculate → |
| Conical Frustum (Truncated Cone) | Curved Shapes | V = \frac{\pi h}{3}(r_1^2 + r_1 r_2 + r_2^2) | r₁, r₂, h | Calculate → |
| Ellipsoid | Curved Shapes | V = \frac{4}{3} \pi a b c | a, b, c | Calculate → |
| Square Pyramid | Prisms & Pyramids | V = \frac{1}{3} a^2 h | a, h | Calculate → |
| Rectangular Pyramid | Prisms & Pyramids | V = \frac{1}{3} l w h | l, w, h | Calculate → |
| Triangular Prism | Prisms & Pyramids | V = \frac{1}{2} b h l | b, h, l | Calculate → |
| Hollow Cylinder / Pipe | Tanks & Pipes | V_{wall} = \pi (R^2 - r^2) h | R, r, h | Calculate → |
| Torus (Donut / O-Ring) | Curved Shapes | V = 2 \pi^2 R r^2 | R, r | Calculate → |
| Trapezoidal Prism / Trench / Trough | Tanks & Pipes | V = \frac{a + b}{2} \times h \times l | a, b, h, l | Calculate → |
| Horizontal Cylinder Tank (Liquid Fill Depth) | Tanks & Pipes | V_{fill} = [r^2 \arccos(\frac{r-d}{r}) - (r-d)\sqrt{2rd - d^2}] \times L | r, L, d | Calculate → |
Frequently Asked Questions
Common questions about 3D shapes, measurements, and unit conversions
Which calculator should I use for a shipping box or room?▼
Use the Box Volume Calculator (Rectangular Prism). Measure the length, width, and height in inches, feet, centimeters, or meters to calculate total cubic volume and fluid capacity.
How do I calculate volume in a round water tank?▼
If the tank stands vertically upright, use the Cylinder Volume Calculator. If the tank lies on its side horizontally and you want to measure liquid volume based on dipstick depth, use the Horizontal Tank Volume Calculator.
Can I mix different measurement units in the calculators?▼
Yes! Every individual calculator allows independent unit selection (inches, feet, cm, meters, yards, mm) for each dimension input. The system automatically converts them internally and outputs the exact volume in gallons, liters, cubic feet, cubic meters, and more.