Audited 27 Jul 2026·Last updated 28 Oct 2026·5 citations·Tier 1·0 uses

Moving Box Calculator

Estimate how many small, medium and large moving boxes to buy from belongings volume, packing efficiency, box sizes and your size mix, plus the box cost.

Moving Box Calculator

Total boxes
89
All boxes to buy: the small, medium and large counts plus any specialty boxes.
Adjusted box volume required
211.7647
Small boxes
43
Medium boxes
36
Large boxes
10
Estimated box cost
155.75
Specialty box add-on count
0

Background.

Most people run short of boxes twice during a move: once in the kitchen, where dishes, glasses and pans use up small boxes far faster than expected, and again at the very end, when the last drawers and shelves still need emptying. Buying the right mix up front starts with volume. Estimate how many cubic feet of belongings will go into boxes, allow for the space that packing never fills, divide that capacity among small, medium and large boxes, and round each count up, because boxes are bought whole.

The allowance is the packing efficiency. Boxes hold voids around irregular shapes, paper or towels around anything fragile, and the space deliberately left empty in a box of books so that someone can still lift it. At 85% efficiency every 100 cubic feet of belongings needs about 117.65 cubic feet of box capacity, so 180 cubic feet of belongings calls for about 211.76.

The mix matters as much as the total. Books, dishes, tools and files belong in small boxes because weight becomes the problem before space runs out; bedding, pillows, lampshades and other light, bulky things suit large ones. That is why the volume is split by percentage rather than divided by one average box size: 30% to small, 50% to medium and 20% to large in the worked example. Wardrobe boxes, dish packs, picture and TV boxes are a separate decision driven by particular items rather than by volume.

Box capacity is internal length × width × height. Measured in inches, it converts at 1,728 cubic inches to the cubic foot, the relationship given in NIST's unit tables, so a box 18 × 18 × 16 inches inside holds exactly 3 cubic feet and one 18 × 18 × 24 inches holds 4.5. ASTM D5118 describes such fiberboard boxes as packages that unitize and protect their contents through handling, shipping and storage.

Two things sit outside the count. Safe lifting depends on weight, posture and reach, and NIOSH's revised lifting equation starts from 51 lb (23 kg) as the most it recommends even under ideal conditions; a half-full box of books can pass that. And an interstate move in the United States brings FMCSA rules on estimates, liability and paperwork that no box tally can settle.

What is moving box calculator?

Moving box estimation converts the volume of belongings into box counts by size. Belongings volume is the estimated cubic space occupied by items that will be boxed. Box volume is the internal capacity of a box, usually measured in cubic feet or calculated from internal inches. Packing efficiency is the percentage of nominal box space that can realistically be used after allowing for voids, padding, irregular objects, and weight limits. Allocation share is the fraction of the total packing volume assigned to small, medium, and large boxes.

The method suits ordinary household or small office packing estimates. It does not know the exact contents of every room unless you provide inventory details. It also does not decide safe lifting weight, mover tariffs, shipment valuation, damage liability, or truck size. The output is a purchasing estimate for empty boxes and basic budget planning. Specialty containers are counted separately because wardrobes, mirrors, framed art, dishes, computers, and TVs often need boxes whose purpose is protection rather than maximum cubic capacity.

For best results, keep dense, fragile, and specialty items separate from the blended volume estimate, because protection and safe handling often determine the box type before volume does.

How to use this calculator.

  1. Estimate total belongings volume in cubic feet from an inventory, a previous move or measurement. Shelves are a quick check: a bookcase 3 ft wide, 1 ft deep and 6 ft tall holds at most 18 cubic feet of contents, and a previous move's box count multiplied by the box sizes gives a figure from real experience.
  2. Enter a packing efficiency. 80% to 90% suits ordinary mixed household goods; go lower for a kitchen full of glassware or a garage of awkward tools, since the field accepts anything from 30% to 100%.
  3. Enter internal volumes for small, medium and large boxes, from the product label or by measuring inside: length × width × height in inches, divided by 1,728.
  4. Set the share of volume for each size so that the three percentages total exactly 100; a size set to 0% gets no boxes. Shift share towards small boxes if the household has many books, records or files.
  5. Count wardrobe, dish-pack, picture and TV boxes item by item, separately from the volume estimate, and enter their count and cost.
  6. Review total boxes, size counts and estimated cost, then adjust the assumptions for heavy or fragile rooms and run them again.

The formula.

Nᵢ = ⌈ (V ⁄ E) × sᵢ ⁄ vᵢ ⌉

The formula begins with rectangular volume. If a box's internal dimensions are given in inches, multiply length by width by height to get cubic inches. Divide by 1,728 to convert cubic inches to cubic feet because one cubic foot contains 12 inches by 12 inches by 12 inches. If a product label already gives cubic feet, use that directly. Internal dimensions are preferred over outside dimensions because cardboard thickness and flaps do not hold belongings.

Belongings volume is then adjusted for packing efficiency. A theoretical solid fill would use 100% of box space, but household goods are irregular. A lamp base, casserole dish, shoe, framed item, or stack of folded clothes leaves voids. Fragile items need padding. Heavy items should not fill large boxes completely. If E is packing efficiency as a decimal, required nominal box capacity is V ÷ E, where V is the belongings volume. With 85% efficiency, 180 cubic feet becomes 211.764706 cubic feet. Lower efficiency means more boxes.

The adjusted volume is allocated by box size. If small boxes receive 30% of volume, medium boxes 50%, and large boxes 20%, multiply the adjusted volume by 0.30, 0.50, and 0.20. Each size is then divided by its box volume. Because a fractional box cannot be purchased or packed, each count is rounded upward independently. Rounding independently is important. If small boxes calculate to 42.35, you need 43 small boxes. The leftover capacity in small boxes cannot always replace a missing medium box because the items assigned to each size differ by weight and shape. Each size's rounding adds less than one box, so the three together add fewer than three boxes to the fractional total.

Cost is a simple quantity times unit price calculation for each size, plus the specialty-box cost. Specialty boxes are fixed counts because their use is driven by item type rather than blended volume. The formula estimates container count, not safe load weight, mover quotes, insurance valuation, or packing labour. Manual handling risk depends on weight, posture, reach, lift frequency, and other factors outside the volume model.

A worked example.

Example

The example starts with 180 cubic feet of belongings. Because boxes are not filled perfectly, the packing efficiency is set to 85%. Dividing 180 by 0.85 gives 211.764706 cubic feet of nominal box capacity to plan for. That capacity is then split 30% to small boxes, 50% to medium boxes and 20% to large boxes. Small boxes therefore need 63.529412 cubic feet. At 1.5 cubic feet per small box, that is 42.352941 boxes, rounded up to 43. Medium boxes need 105.882353 cubic feet; divided by 3 cubic feet each, that is 35.29, rounded up to 36. Large boxes need 42.352941 cubic feet; divided by 4.5 cubic feet each, that is 9.41, rounded up to 10. The total is 89 boxes. The cost is 43 × 1.25 + 36 × 2 + 10 × 3 = 53.75 + 72 + 30 = 155.75 in the entered currency. The unrounded counts add to about 87.06, so rounding each size up added just under two boxes, a small price for not running out of any one size. The bigger lever is the mix. A household heavy on books that moves the split to 50% small, 40% medium and 10% large needs 71 small, 29 medium and 5 large boxes: 105 in all, costing 161.75, because the same capacity is now carried in smaller units.

medium Box Volume Cu Ft3
small Box Price1.25
medium Share Percent50
belongings Volume Cu Ft180
large Box Price3
large Share Percent20
small Share Percent30
packing Efficiency Percent85
medium Box Price2
small Box Volume Cu Ft1.5
large Box Volume Cu Ft4.5

Frequently asked questions.

Why does the calculator divide by packing efficiency?
Packing efficiency accounts for the fact that a box's nominal volume is not fully usable. Household goods are irregular, fragile items need padding, and heavy items may intentionally leave empty space. Dividing by efficiency increases the required box capacity so the estimate reflects real packing rather than a perfect solid block. If efficiency is 85%, 100 cubic feet of belongings needs about 117.65 cubic feet of box capacity. Lower efficiency produces more boxes and is safer for fragile or awkward items.
Should I use small or large boxes for books?
Books usually belong in small boxes because weight becomes the limiting factor before volume. A large box full of books can be difficult or unsafe to lift, even if the volume calculation says it fits. The allocation percentages let you assign dense items to smaller boxes and light bulky items to larger boxes. The estimate is a count, so keep each box's weight manageable and follow mover or workplace lifting guidance where it applies.
What is the best packing efficiency value?
There is no universal value. For mixed household goods with ordinary padding, 80% to 90% is a reasonable planning range. Uniform items may pack more efficiently, while fragile kitchenware, decor, lamps and awkward garage items pack less efficiently. If you are uncertain, use a lower efficiency to avoid running short. The assumption moves the answer a lot: for the 180 cubic feet in the example, 70% efficiency calls for 107 boxes and 100% for 74, against 89 at 85%.
Why round each box size up separately?
Each box size serves a different packing role. A fractional small-box result means the remaining small items still need a real small box, even if there is unused space in a large box. Rounding only the final total can undercount specific sizes and leave you with the wrong mix. Independent rounding is conservative and matches purchasing behaviour: boxes are bought whole by size. It also makes the cost estimate match actual box quantities.
Does the calculator estimate truck size?
No. Box count is not the same as truck volume. Furniture, appliances, mattresses, rugs, bicycles, plants and disassembled items may not be boxed but still occupy truck space. Truck loading also depends on stacking strength, weight distribution, access and tie-downs. A truck estimate has to combine boxed volume with furniture volume and loading assumptions; this estimate covers only empty-box purchasing and packing supplies.
How do specialty boxes fit into the estimate?
Specialty boxes are counted directly because their need is item-specific. Wardrobe boxes depend on how much clothing hangs, not just cubic volume. Dish packs use dividers and padding. Picture, mirror, TV and file boxes protect shapes that do not pack like ordinary household goods. Count them item by item and keep them out of the blended volume, rather than replacing them with generic medium boxes and accepting the protection risk.
How heavy should a packed moving box be?
Light enough to lift safely, which is usually less than the box can hold. NIOSH's lifting equation starts from 51 lb (23 kg) as its recommended limit for one person under ideal conditions, and stairs, twisting and reaching lower it further. Most corrugated boxes also print a box maker's certificate on a bottom flap with a maximum gross weight; stay below it, especially for boxes that will be stacked.
Can the box count stand in for a mover's quote or insurance valuation?
No. Professional quotes, freight, pallet loads, lifting assessments and insurance valuation all need their own process, and an expensive or fragile move deserves a room-by-room inventory. For interstate moves in the United States, FMCSA explains estimates, liability and required documents; its basic released-value protection pays no more than 60 cents per pound per article, and movers may limit liability for boxes you packed yourself, so read the paperwork.
How do I work out a box's volume from its dimensions?
Measure the inside length, width and height in inches, multiply them, and divide by 1,728. A box 18 × 18 × 16 inches holds 5,184 cubic inches, exactly 3 cubic feet, and one 18 × 18 × 24 inches holds 7,776 cubic inches, or 4.5 cubic feet. A small box of 16 × 12 × 12 inches comes to about 1.33 cubic feet, a little under the 1.5 used by default.
How many boxes does a small or a large household need?
It depends on the volume you estimate, so treat any per-room rule with caution. With the default sizes, mix, prices and 85% efficiency, 60 cubic feet of belongings needs 31 boxes (15 small, 12 medium, 4 large) costing 54.75, while 400 cubic feet needs 195 boxes (95 small, 79 medium, 21 large) costing 339.75. The count scales almost exactly with volume.

How this page was produced

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Quanta Calculator
Primary sources
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Method
Nᵢ = ⌈ (V ⁄ E) × sᵢ ⁄ vᵢ ⌉
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