Calculate volume and surface area for 15+ 3D shapes with interactive 3D previews. Spheres, cones, prisms, and more.
This tool covers the solids most people actually need: sphere, cylinder, cone, cube, rectangular box, and a range of prisms and pyramids, 15+ shapes in all. You pick a shape, enter the dimensions it asks for, and it returns the volume and surface area, each with the standard formula applied. The interactive 3D preview matters more than it looks: rotate the solid to see which edge is the radius, which is the height, before trusting the numbers. The surprise most users hit is scaling - double the radius of a sphere and the volume grows eightfold, not twofold.
A concrete input and expected output from the current implementation.
Input
Shape: cylinder; radius = 3; height = 5
Expected output
Volume: 141.37 cubic units. Surface area: 150.80 square units (lateral wall 94.25 + two circular ends 56.55).
For a cylinder, volume is base area times height: pi x 3 squared x 5 = 45pi, about 141.37. Surface area adds the lateral wall, circumference times height (2 x pi x 3 x 5 = 30pi, about 94.25), to the two circular ends (2 x pi x 3 squared = 18pi, about 56.55), which sum to 48pi, about 150.80.
The shape list determines what you enter: a cylinder asks for radius and height, a rectangular box for three side lengths, a sphere for a single radius. The tool applies the standard closed-form formula for that solid - a cylinder's volume is pi times radius squared times height - so the result is exact arithmetic on the numbers you supplied, rounded to a few decimal places for display.
Alongside the numbers, the tool draws the solid as an interactive 3D model you can rotate and zoom by dragging. The model redraws as you change the inputs: you watch the shape grow or shrink, and you can confirm the dimension you edited is the one you meant - a common failure point on solids where several lengths look similar, such as a cone's slant height versus its vertical height.
Usually a radius/diameter mix-up or a unit mismatch. Volume scales with the cube of a linear dimension, so doubling a sphere's radius multiplies its volume by 8 and its surface area by 4: a small input slip becomes a large output error. Also confirm the input unit matches the unit the answer needs, since results are in cubic and square units of whatever you entered.
Yes for the standard formula: total surface area includes the bases - a cylinder's two circular ends, a cone's circular base - and that is what the surface area number means. If you are only covering the curved portion, such as wrapping a pipe's wall without its caps, use a lateral (sides-only) figure if the tool offers one, or subtract the base area from the total.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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