No personal result is available. These are the rectangular prism formulas and conditions.
Formulas and conditions
Rectangular prism
Volume
Surface area
L length · W width · h height · V volume · SA closed surface area
Three mutually perpendicular dimensions, all positive. Closed, six faces; no wall thickness.
Surface area counts all six faces; it is not material volume.
Diagrams are schematic, not to scale.
Volume is base area L × W multiplied by height. Surface area adds two faces of each size: L × W, L × h and W × h.
Use the dimensions of the solid being measured. These formulas do not calculate the amount of material in a hollow box or subtract an open face.
Use the same length unit throughout a formula. Convert mixed measurements first. Length and perimeter use units such as cm; area uses cm²; volume uses cm³. Decimal examples below are rounded to at most six significant figures, with ≈ marking an approximation.
Worked example: A 2 cm by 3 cm by 4 cm prism
V = 2 × 3 × 4 = 24 cm³.
SA = 2 × (2 × 3 + 2 × 4 + 3 × 4) = 52 cm².
The six face areas are 6, 6, 8, 8, 12 and 12 cm². Adding them independently gives 52 cm².