Cuboid Volume Calculator - L x W x H Box Volume

A cuboid volume calculator is a no-algebra tool that takes the three edge lengths of a box-shaped solid and returns the volume, total surface area, and longest interior diagonal in a single pass.

• • Shipping and storage: Estimate the volume of a moving box, mailer, pallet, or warehouse bin to plan container load or storage fees.
• • Tank, aquarium, and pool capacity: Calculate the liquid or fill volume of a rectangular tank, planter, raised bed, or pool that is shaped like a box.
• • Material and cost planning: Compute how much concrete, soil, mulch, insulation, or fill a box-shaped form will hold, so you can order the right amount on the first pass.

The cuboid is the most general box-shaped solid in elementary geometry: six rectangular faces, twelve edges, and eight vertices, with three independent edge lengths. Real-world cuboids include moving boxes, freezers, kitchen drawers, raised garden beds, and most cardboard mailers.

When all three edges are the same length, the cube volume calculator takes over and applies the simpler a^3 formula to the same dimensions, useful for dice, packing cubes, and standard storage cubes.

The tool converts the three inputs to meters, evaluates L*W*H, and re-expresses the result in the chosen volume unit.

• L (length): The longest edge of the cuboid, entered in the chosen length unit.
• W (width): The second edge of the cuboid, perpendicular to L, in the same length unit.
• H (height): The third edge of the cuboid, perpendicular to both L and W, in the same length unit.

Multiplying L*W*H is the same as multiplying the area of the base (L*W) by the height, which stacks the base rectangle H times to fill the box. The space diagonal is a supporting value because it uses the same three edges.

According to Wolfram MathWorld, the volume of a cuboid with edges L, W, and H equals L*W*H, and the total surface area equals 2(L*W + L*H + W*H), which is the pair of formulas used by every standard cuboid calculator.

According to Math Open Reference, the surface area of a cuboid with edges L, W, and H is 2(LW + LH + WH), while the volume is L*W*H, and these are the formulas used by every standard cuboid calculator.

Because the L*W term in the cuboid formula is just the area of a rectangle, the length width area rectangle calculator is a quick way to check a single face of the box in square feet or square meters.

Four small ideas explain every result on this page and prevent the most common mix-ups when working with box-shaped solids.

These four concepts are why the result panel returns more than one number. Volume, surface area, and space diagonal are honest answers to slightly different questions about the same box.

The same three edges also answer cardboard and paint questions, and the cuboid surface area calculator returns the matching 2(L*W + L*H + W*H) total, lateral, and base area in a separate result panel.

Use the cuboid volume calculator in five short steps, switching length or volume units at any time without re-entering the dimensions.

1. 1 Enter the length, width, and height: Type the three edges of the box. The three values must be in the same length unit.
2. 2 Pick the length unit: Select mm, cm, m, in, ft, or yd to match the numbers you typed.
3. 3 Choose the volume unit: Pick m^3, cm^3, ft^3, in^3, liters, or US gallons. Surface area and diagonal stay in m^2 and m.
4. 4 Read the full cuboid profile: Watch the volume, total surface area, and space diagonal update in real time as you change any input.

For a 60 cm x 40 cm x 30 cm storage bin, set the unit to centimeters, type 60, 40, and 30, and pick liters. The result panel returns 72 L of fill, 1.08 m^2 of surface, and a space diagonal of about 0.78 m.

A dedicated cuboid volume calculator removes the algebra from three tightly related numbers and keeps the units consistent for both metric and imperial work.

• • Volume, area, and diagonal at once: Enter L, W, and H once and read off the volume, total surface area, and space diagonal in the same view, so you can quote a fill, a wrapping, and a fit-check without re-running the math.
• • Six volume units without re-entering values: Switch the volume output between m^3, cm^3, ft^3, in^3, liters, and US gallons without re-entering dimensions, which avoids the most common unit-conversion error in shipping and capacity planning.
• • Metric and imperial in one place: Switch length inputs between mm, cm, m, in, ft, and yd to match a product page or project drawing, and keep the volume unit fixed or change it independently.
• • Hand-off to cube and cylinder peers: Set L = W = H and the result lines up with the cube volume calculator; for round tanks with the same capacity, switch to the cylinder volume calculator and reuse the same three fields.

If your container is round rather than rectangular, the cylinder volume calculator applies the matching pi*r^2*h formula and helps you compare a box tank to a cylindrical tank of the same capacity.

Three measurable factors control the precision of every cuboid volume result, and a few practical limits apply to any real-world box-shaped solid.

• • The calculator assumes a perfect rectangular box. Real cardboard, plastic, or wood objects have rounded edges, corner bevels, label cutouts, or material thickness, so the true inside volume is usually below the L*W*H result.
• • Volume and diagonal values are geometric and assume a sealed solid. Open-top boxes, hollow walls, and bins with internal partitions need a manual adjustment because the closed cuboid formula counts inside space the material does not actually fill.

These factors and limits come from standard cuboid geometry. The tool is intended for planning, homework, and quick estimates, and it should be cross-checked against a project drawing or material list when the result drives a purchase order or a safety decision.

As published by Encyclopaedia Britannica, a cuboid is a box-shaped solid whose volume equals the product of its three edge lengths and whose total surface area equals twice the sum of the three products of those edges taken two at a time.

For broader shape coverage and additional unit conversions, the volume calculator brings the same unit-handling approach to spheres, prisms, pyramids, and cones in a single tool.