Rectangular Prism Calculator
Box volume, surface area and the diagonal that decides what fits.
Work out Rectangular Prism. Box volume, surface area and the diagonal that decides what fits. Says which height or radius each formula needs.
Volume (units³)
24
Surface area 52 units²
Volume is length × width × height. Surface area is 2(lw + lh + wh) — three pairs of identical faces. The space diagonal of 5.3852 units is the longest straight object that fits inside, which is the figure that actually matters when checking whether something will go in a box.
How the Rectangular Prism Calculator works
Volume is length × width × height and surface area is 2(lw + lh + wh) — three pairs of identical faces. The space diagonal is the figure that matters in practice, because it is the longest straight object that will fit inside the box.
Also known as: volume of a box · cuboid calculator · box surface area calculator · rectangular prism volume
Frequently asked questions
How do I find the volume of a box?
Multiply length by width by height. A 4 by 3 by 2 box holds 24 cubic units.
How do I find the surface area?
Add the three distinct face areas and double the total, since each face has an identical partner opposite it. A 4 by 3 by 2 box has a surface area of 52 square units.
Will a long object fit in my box?
Compare it to the space diagonal, not to any single side. A 4 by 3 by 2 box has a diagonal of 5.39, so it takes something noticeably longer than its longest side.
What is a cuboid?
The same shape — a box with six rectangular faces. Cuboid is the more common term outside the United States.
Put this calculator on your own site
Free to use, on any site, commercial or not. Paste this where you want it to appear. It is a plain iframe, so it works in WordPress, Squarespace, Wix, Webflow, Ghost and anything else that accepts HTML.
<iframe src="https://www.thecalclibrary.com/embed/rectangular-prism-calculator" width="100%" height="640" style="border:1px solid #e2e8f0;border-radius:12px" loading="lazy" title="Rectangular Prism Calculator"></iframe>The only condition is that the credit line stays visible. It sits inside the frame, so you do not have to do anything to keep it.