Volume Formulas for Common 3D Shapes
Sphere: V = (4/3)πr³; SA = 4πr². Cylinder: V = πr²h; SA = 2πr(r+h). Cone: V = (1/3)πr²h; slant height l = √(r²+h²); SA = πr(r+l). Cube: V = s³; SA = 6s². Rectangular Prism: V = lwh; SA = 2(lw+lh+wh). Pyramid (rectangular base): V = (1/3)lwh. A cone has exactly 1/3 the volume of a cylinder with the same base and height.
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Step-by-Step Instructions
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- Read the full breakdown table — every row provides additional context beyond the headline number.
- Run multiple scenarios — change one input at a time to understand sensitivity.
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Accuracy and Limitations
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