Rectangular Prism — Volume + Surface Area
Cuboid: V = lwh, SA = 2(lw + lh + wh), space diagonal = √(l² + w² + h²).
Result
Volume
60.0000
3 × 4 × 5 = 60.0000. SA = 94.0000.
- Length3
- Width4
- Height5
- Volume (lwh)60.000000
- Surface area94.000000
- Space diagonal7.071068
Step-by-step
- V = l × w × h = 3 × 4 × 5 = 60.0000.
- SA = 2(lw + lh + wh) = 2(12.00 + 15.00 + 20.00) = 94.0000.
- Space diagonal = √(l² + w² + h²) = √50.0000 = 7.0711.
How to use this calculator
- Enter length, width, and height.
- Read volume, surface area, and the longest diagonal that fits diagonally inside.
About this calculator
A rectangular prism (cuboid) has 6 rectangular faces, 12 edges, 8 vertices, and 3 pairs of perpendicular dimensions: length, width, height. Volume V = lwh. Surface area SA = 2(lw + lh + wh) — three pairs of identical faces. Space diagonal d = √(l² + w² + h²) — the 3D Pythagorean theorem. Source: standard geometry textbook (Stewart, "Calculus"; Larson, "Geometry"). When l = w = h the prism becomes a cube.
Frequently asked
Same shape. "Cuboid" is the geometric term; "rectangular prism" is the school-textbook name.
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