Item Fits

+ New calculation

FITS

It fitswith 5.5 in to spare

Will a large suitcase (51x30x74 cm) fit in a container?

large suitcase· 20 in × 12 in × 29 in

+5.5 in (−61%)of clearance at tightest point

Item being fitted

large suitcase20 in × 12 in × 29 in

Space clearance

Container3 ft 4 in × 4 ft 2 in × 18 in

Result

5.5 in of clearance

▸ height axis · binding

See more large suitcase container calculations →

Expert analysis

A large suitcase measuring 20 in × 12 in × 29 in fits in a container, with about 5.5 in to spare at the tightest point. The binding dimension is height: in its best-fitting orientation, the height is what comes closest to the limit, and it still clears. The persisted calculation steps support the reported tightest-point margin. That margin already subtracts a <1 in handling allowance, so it reflects a realistic load rather than a paper-thin theoretical fit. One caveat: item is rigid and cannot be compressed, bent, or disassembled.

How we verified this

Binding axis: Height
Tightest clearance: 5.5 in clear
Result: Every axis clears

+5.5 in clearance

· ON THE HEIGHT AXIS

It fits with clearance on every axis.

Every axis clears the opening — height is the tightest.
A <1 in handling allowance is already subtracted.
No tilting or compression needed.

12 in vs 18 in

Clearance +5.5 in (+32.4%) on the HEIGHT axis

AVolume inequality✓ PASS

\sum V_{\text{item}} \;\le\; V_{\text{container}}

↓ SUBSTITUTE

6968 \;\overset{?}{\le}\; 35135

Plain English: Packed together the item fills about 20% of the space's volume — plenty of room by volume.

BAxis inequality · width✓ PASS

d_{\text{item}} \;\le\; d_{\text{space}}

↓ SUBSTITUTE

20 \;\overset{?}{\le}\; 39.8\quad(\text{width})

↓ EVALUATE

20\,\text{in} \;\le\; 39.8\,\text{in} \;\Longrightarrow\; \Delta = {+19.8}\,\text{in}

Plain English: Along the width, the item is 20 in and the space allows 39.8 in — 19.8 in to spare.

CAxis inequality · depth✓ PASS

d_{\text{item}} \;\le\; d_{\text{space}}

↓ SUBSTITUTE

29 \;\overset{?}{\le}\; 49.8\quad(\text{depth})

↓ EVALUATE

29\,\text{in} \;\le\; 49.8\,\text{in} \;\Longrightarrow\; \Delta = {+20.7}\,\text{in}

Plain English: Along the depth, the item is 29 in and the space allows 49.8 in — 20.7 in to spare.

DAxis inequality · height✓ PASS

d_{\text{item}} \;\le\; d_{\text{space}}

↓ SUBSTITUTE

12 \;\overset{?}{\le}\; 17.8\quad(\text{height})

↓ EVALUATE

12\,\text{in} \;\le\; 17.8\,\text{in} \;\Longrightarrow\; \Delta = {+5.7}\,\text{in}

Plain English: Along the height, the item is 12 in and the space allows 17.8 in — 5.7 in to spare.

E3D space diagonal✓ PASS

\mathcal{D}_{3D} = \sqrt{L^2 + W^2 + H^2}

↓ SUBSTITUTE

\sqrt{20^2 + 29^2 + 12^2}

↓ EVALUATE

37.2\,\text{in} \;\le\; 66.1\,\text{in} \;\Longrightarrow\; \Delta = {+28.9}\,\text{in}

Plain English: Corner to corner the item reaches 37.2 in — keep that swing room in mind for the turn after.

Orientation	L	W	H	Result	Note
508×304.79999999999995×736.5999999999999mm (Upright)	—	1 ft 8 in	-11.5 in	✕	Width
508×736.5999999999999×304.79999999999995mm (On its side)	—	1 ft 8 in	5.5 in	✓
304.79999999999995×508×736.5999999999999mm (Rotated 90°)	—	2 ft 4 in	-11.5 in	✕	Width
304.79999999999995×736.5999999999999×508mm (On its side)	—	2 ft 4 in	-2 in	✕	Width
736.5999999999999×508×304.79999999999995mm (On its side)	—	10.5 in	5.5 in	✓
736.5999999999999×304.79999999999995×508mm (On its side)	—	10.5 in	-2 in	✕	Width

Margins shown are calculated; allow ±¼ in for tape-measure precision.

How the container-fit check works

A container is a fully 3D box — length, width, AND height must accept the item simultaneously; corner reachability is a soft second constraint.

Treat the container as a 3D box and generate the item’s 6 dimension permutations (3 axes × 2 flips).
For each permutation, apply the constraint: item ≤ container on length, width, and height simultaneously.
Check reachability — items longer than arm’s reach can’t be loaded all the way into the back corners.
Subtract 1.5 in handling clearance on each axis for the mover’s grip plus pivot room.
Verdict ladder (verdict-tiers.js, shared with door): FITS ≥ 2 in; FITS_TIGHT 0.5–2 in; FITS_VERY_TIGHT 0–0.5 in; DOESN'T_FIT below.

Interior dimensions use the published spec; door rails, ribs, and floor lashings can shave 1–2 in off the usable corners.

Similar calculations

17 in Checked Suitcases 1 in a 22 in containerDOESN'T FIT

32 in suitcase in a 3 ft containerFITS

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Will a large suitcase (51x30x74 cm) fit in a container?

Expert analysis

It fits with clearance on every axis.

Dimensions

Space geometry

Handling

Similar calculations

Run your own fit check