SOLID GEOMETRY / CLOSED EXTERIOR

Surface Area Calculator

Calculate total closed surface area for a sphere, cylinder, cube, or rectangular prism using shape-aware dimensions.

01 Calculated in this tab
02 Values stay in this browser tab
03 Use boundary

Use boundary

Calculation path

The selected shape determines which bounded dimensions and complete exterior-surface identity are applied.

Calculation path

2(ab + ac + bc)

What you provide

Solid shape: Choose the closed solid whose exterior area should be calculated.
Primary dimension: Length for a prism, side for a cube, or radius for circular shapes.
Secondary dimension: Width for a prism or height for a cylinder; ignored by cube and sphere.
Third dimension: Height for a rectangular prism; ignored by other shapes.

What you receive

Total closed surface area
Selected shape recap
Exact formula identity used

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

All shapes are closed and idealized; subtract openings or add overlaps, seams, waste, and thickness separately.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.

Surface Area Calculator

Calculation path

What you provide

What you receive

Choose the maximum decimal places shown. This does not increase source accuracy.

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