Rectangular prism surface area
Calculate the surface area, volume and space diagonal of a rectangular prism from its length, width and height.
Formula
A=2(lw+lh+wh); V=lwh; d=√(l²+w²+h²), with dimensions in meters.
Length: 3 m · Width: 4 m · Height: 5 m · Total surface area ≈ 2×((3 m)×(4 m)+(3 m)×(5 m)+(4 m)×(5 m)) · Volume ≈ (3 m)×(4 m)×(5 m) · Space diagonal ≈ sqrt((3 m)^2+(4 m)^2+(5 m)^2)
How to use
- Enter length, width and height.
- Choose each dimension’s unit.
- Read area in m², volume in m³ and the space diagonal in m.
Examples
- A 3 × 4 × 5 m box has area 94 m², volume 60 m³ and space diagonal ≈7.071068 m.
- A cube with 2 m edges has area 24 m², volume 8 m³ and space diagonal ≈3.464102 m.
Frequently asked questions
Does this include the top and bottom?
Yes. It measures all six faces of a closed rectangular prism.
Can I calculate a cube?
Yes. Enter the same length in all three fields.
Which diagonal is shown?
The space diagonal joins opposite vertices through the solid, not across one face.
Sources
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