How do I calculate a cuboid's volume?
Multiply length by width by height. A 6 by 4 by 3 box holds 72 cubic units. A cuboid is just a rectangular box with three possibly different dimensions.
// maths › 3D Solids
Cuboid Volume Calculator
Find the volume, surface area and space diagonal of a cuboid (rectangular box) from its length, width and height.
volume = l×w×h ; surface area = 2(lw+lh+wh) ; diagonal = √(l²+w²+h²)
Frequently asked questions
What is the surface area of a cuboid?
Twice the sum of the three face pairs: 2(lw + lh + wh). A box has three pairs of matching rectangular faces, so this adds them all up.
What is the space diagonal?
The longest straight line inside the box, from one corner to the far opposite corner. It is the square root of length squared plus width squared plus height squared.
Is a cube a special cuboid?
Yes. When all three dimensions are equal, a cuboid becomes a cube, and the formulas simplify accordingly.
Where would I use this?
Shipping cartons, rooms, fish tanks, wardrobes, and working out how much a rectangular container can hold or how much material wraps it.