Will a generic item (60x55x50 cm) Fit Through a 50 cm Door?

−1.5 in over

· ON THE WIDTH AXIS

It exceeds the opening at the tightest point.

The width axis runs out of room.
Checked all 6 orientations — none fits.
A 1.5 in handling allowance is already subtracted.

20 in vs 18 in

Overage −1.5 in (−8.2%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

19.7 \;\overset{?}{\le}\; 18.2\quad(\text{opening width})

↓ EVALUATE

19.7\,\text{in} \;>\; 18.2\,\text{in} \;\Longrightarrow\; \Delta = -1.5\,\text{in}

Plain English: Along the opening width, the item is 19.7 in and the space allows 18.2 in — over by 1.5 in.

BAxis inequality · opening height✕ FAIL

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

↓ SUBSTITUTE

23.6 \;\overset{?}{\le}\; 22.1\quad(\text{opening height})

↓ EVALUATE

23.6\,\text{in} \;>\; 22.1\,\text{in} \;\Longrightarrow\; \Delta = -1.5\,\text{in}

Plain English: Along the opening height, the item is 23.6 in and the space allows 22.1 in — over by 1.5 in.

CDiagonal clearance · Pythagorean✕ FAIL

\sqrt{a^2 + b^2} \;\le\; \sqrt{a_{\text{sp}}^2 + b_{\text{sp}}^2}

↓ SUBSTITUTE

\sqrt{19.7^2 + 23.6^2} \;\overset{?}{\le}\; \sqrt{18.2^2 + 22.1^2}

↓ EVALUATE

30.7\,\text{in} \;>\; 28.7\,\text{in} \;\Longrightarrow\; \Delta = -2.1\,\text{in}

Plain English: Even tilted corner-to-corner the face spans 30.7 in, past the opening's 28.7 in diagonal — angling it doesn't recover the fit.

D3D space diagonal✕ FAIL

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

↓ SUBSTITUTE

\sqrt{23.6^2 + 21.7^2 + 19.7^2}

↓ EVALUATE

37.6\,\text{in} \;>\; 28.7\,\text{in} \;\Longrightarrow\; \Delta = -9\,\text{in}

Plain English: Corner to corner the item reaches 37.6 in — keep that swing room in mind for the turn after.

EMinimum required space · opening width✕ FAIL

d_{\text{req}} = d_{\text{item}} + t

↓ SUBSTITUTE

19.7 + 1.5 = 21.2

Plain English: Smallest space on the limiting axis that would admit this item (with handling tolerance).

FLargest item that fits · opening width✕ FAIL

d_{\max} = d_{\text{space}} - t

↓ SUBSTITUTE

18.2 - 1.5 = 16.7

Plain English: Largest item dimension this space admits on the limiting axis (after handling tolerance).

Orientation	Width	Height	Result	Note
600mm across, 500mm vertical	-10 cm	10 cm	✕	Too wide
600mm across, 550mm vertical	-10 cm	5 cm	✕	Too wide
500mm across, 600mm vertical	0 cm	0 cm	✓
500mm across, 550mm vertical	0 cm	5 cm	✓
550mm across, 600mm vertical	-5 cm	0 cm	✕	Too wide
550mm across, 500mm vertical	-5 cm	10 cm	✕	Too wide

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

How the door-passage check works

A door is a 2D opening — width and height matter; depth (path length through the doorway) doesn’t.

Generate all 6 dimension permutations of the item (3 axes × 2 flips).
For each permutation, apply the door constraint: item_width ≤ door_width AND item_height ≤ door_height.
Subtract 1.5 in handling clearance from each axis to leave room for human movement.
Pick the permutation with the largest minimum-axis margin — that’s the orientation a mover would choose.
Verdict ladder (verdict-tiers.js): FITS if margin ≥ 2 in; FITS_TIGHT if 0.5–2 in; FITS_VERY_TIGHT if 0–0.5 in; DOESN'T_FIT below.

Tolerance ±¼ in (6 mm) is applied implicitly (band promotion to FITS_VERY_TIGHT) — see the note below the orientation matrix.

Similar calculations

24 in generic item through a 29 in doorwayFITS

6 ft generic item through a 30 in doorwayDOESN'T FIT

28 in generic item through a 34 in doorwayDOESN'T FIT

9 ft generic item through a 32 in doorwayDOESN'T FIT

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Will a generic item (60x55x50 cm) fit through a 50 cm door?

Expert analysis

It exceeds the opening at the tightest point.

Dimensions

Space geometry

Handling

Similar calculations

Run your own fit check