Volume Calculator (Box, Cylinder, Cone, Sphere, Pyramid)

Our volume calculator converts simple measurements into the total space a 3D object occupies. Whether you’re estimating concrete, soil, water, grain, or packaging capacity, knowing volume-and surface area for coatings-prevents costly over- or under-ordering. This tool covers the most common solids: box (rectangular prism), cylinder, cone, sphere, and square pyramid. Enter dimensions once in your preferred units and the calculator shows both volume in units and surface area in units along with transparent formula steps so you can double-check the math.

The key to accuracy is unit consistency. If dimensions are in inches, results return cubic inches and square inches; for meters, you’ll see cubic meters and square meters. Many practical jobs simply need a quick sense of scale: doubling a cylinder’s radius quadruples its area but increases volume eightfold. That’s why slight size changes can have big cost impacts for fill materials and coatings.

Boxes and cylinders dominate storage and shipping, while cones and pyramids appear in hoppers, piles, and architectural features. Spheres show up in tanks, bearings, and sports. The formulas here are standard: V = L·W·H for boxes; V = πr²h for cylinders; V = (1/3)πr²h for cones; V = (4/3)πr³ for spheres; and for a right square pyramid V = (1/3)b²h. Surface areas differ by shape. For example, a cylinder’s A = 2πr(r + h) includes both circular ends plus the curved side, while a cone’s A = πr(r + s) depends on slant height s.

For DIY and construction, round up fill materials to account for settling and spillage, and add a margin to coatings for waste and texture. In coursework, show your steps and units; this calculator’s “Steps” box is designed to mirror the reasoning teachers expect. Use the related tools to convert areas, work with circles and triangles, or run quick checks on percentages and basic arithmetic.

By combining shape pickers, instant feedback, and clear assumptions, our volume calculation tool speeds planning without sacrificing clarity. Enter dimensions, verify the units, and you’ll have trustworthy numbers for both capacity and coverage.