Description

📦 Volume Calculator – Measure 3D Space Easily

The Volume Calculator is a practical mathematical tool designed to compute the amount of space occupied by different 3D shapes. Whether you’re a student solving geometry problems, an engineer designing structures, or someone calculating real-world volumes like tanks or packaging, this calculator makes finding volumes simple and accurate.

📘 Supported Shapes & Formulas

✅ Cube → V=a3V = a^3V=a3
✅ Rectangular Prism (Box) → V=l⋅w⋅hV = l \cdot w \cdot hV=l⋅w⋅h
✅ Sphere → V=43πr3V = \tfrac{4}{3} \pi r^3V=34​πr3
✅ Cylinder → V=πr2hV = \pi r^2 hV=πr2h
✅ Cone → V=13πr2hV = \tfrac{1}{3} \pi r^2 hV=31​πr2h
✅ Pyramid (Square/Rectangular Base) → V=13AhV = \tfrac{1}{3} A hV=31​Ah
✅ Triangular Prism → V=12bhtLV = \tfrac{1}{2} b h_t LV=21​bht​L
✅ Ellipsoid → V=43πabcV = \tfrac{4}{3} \pi abcV=34​πabc
✅ Custom Shape → V=A⋅hV = A \cdot hV=A⋅h (user-defined base area × height)

💡 Features:

• Easy shape selection (cube, cone, sphere, etc.)

• Step-by-step formula display for each calculation

• Provides exact results (with π symbol where needed)

• Decimal approximation for practical use

• Results shown with cubic units (cm³, m³, in³, ft³, etc.)

👤 Who Should Use This:

📌 Students – solve geometry and physics problems
📌 Engineers & Architects – estimate material volumes
📌 Construction Workers – calculate fill or concrete needs
📌 Logistics & Packaging Experts – measure container/storage capacity
📌 Everyday Users – compute pool, tank, or household item volume

🧮 Example:

A cylindrical tank has:

• Radius = 2 m

• Height = 5 m

V=πr2h=π⋅22⋅5=20π≈62.83 m3V = \pi r^2 h = \pi \cdot 2^2 \cdot 5 = 20\pi \approx 62.83 \, m^3V=πr2h=π⋅22⋅5=20π≈62.83m3

✅ Answer: The tank holds about 62.83 cubic meters.

✅ Pro Tip:

Always double-check units (cm, m, ft, in). Using consistent units ensures accurate results for real-world applications.

🔗 Related Tools You May Find Helpful:

📐 Area Calculator – Find 2D surface area for shapes
🧱 Surface Area Calculator – Measure outer surface of 3D solids