Volume Formulas Reference
Complete cheat sheet of 3D volume formulas with mini-calculators. Cube, rectangular prism, sphere, cylinder, cone, pyramid, torus, ellipsoid, prism.
Cube
V = a³
Rectangular Prism
V = a × b × c
Sphere
V = 4/3 × π × r³
Cylinder
V = π × r² × h
Cone
V = 1/3 × π × r² × h
Pyramid
V = 1/3 × S × h
Torus
V = 2π² × R × r²
Ellipsoid
V = 4/3 × π × a × b × c
Prism
V = S × h
How to Use the Volume Formulas Reference
- Browse the reference table to find the values you need.
- Use search or scroll to locate specific entries.
- Click on a value to copy it or see more details.
- Use the table as a quick reference during calculations or study.
مرجع سريع
| من | إلى |
|---|---|
| 1 × 1 | 1 |
| 5 × 5 | 25 |
| 7 × 8 | 56 |
| 9 × 9 | 81 |
| 12 × 12 | 144 |
| 15 × 15 | 225 |
حالات الاستخدام
- •Quick lookup of values during math class or professional work.
- •Verifying calculations without needing a full scientific calculator.
- •Studying mathematical relationships, patterns, and properties.
- •Using as a handy reference during engineering or science tasks.
الصيغة
Volume measures the three-dimensional space enclosed by a shape. Each solid has a specific formula derived from its geometric properties.
الأسئلة الشائعة
What is the volume formula for a sphere?
V = 4/3 × π × r³. For a sphere with radius 5, V = 4/3 × π × 125 ≈ 523.6 cubic units.
How do I calculate the volume of a cylinder?
V = π × r² × h, where r is the base radius and h is the height. It is essentially the area of the circular base times the height.
What is the volume of a cone compared to a cylinder?
A cone's volume is exactly 1/3 of a cylinder with the same base and height: V(cone) = 1/3 × π × r² × h.
How do I find the volume of a torus?
V = 2π² × R × r², where R is the distance from the center of the tube to the center of the torus (major radius) and r is the radius of the tube (minor radius).