Item Fits

DOESN'T FIT

It doesn't fitby 1.5 in too large

Will a recliner (74x97x102 cm) fit in a space?

recliner· 29 in × 3 ft 2 in × 3 ft 4 in

−1.5 in (+0%)too large at tightest point

Item being fitted

recliner29 in × 3 ft 2 in × 3 ft 4 in

Space clearance

Space29 in × 6 ft 8 in

Result

1.5 in too large

▸ width axis · binding

Expert analysis

A recliner measuring 29 in × 38 in × 40 in does not fit in a space, but it's about 1.5 in too large at the tightest point. The binding dimension is width: that is the axis where the recliner runs out of room. We checked every orientation, and none places the recliner fully inside. One caveat: item is rigid and cannot be compressed, bent, or disassembled.

How we verified this

Binding axis: Width
Tightest clearance: 1.5 in over
Orientations checked: 6
Result: Width exceeds the opening

−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.

29 in vs 28 in

Overage −1.5 in (−5.4%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

29.1 \;\overset{?}{\le}\; 27.6\quad(\text{opening width})

↓ EVALUATE

29.1\,\text{in} \;>\; 27.6\,\text{in} \;\Longrightarrow\; \Delta = -1.5\,\text{in}

Plain English: Along the opening width, the item is 29.1 in and the space allows 27.6 in — over by 1.5 in.

BAxis inequality · opening height✓ PASS

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

↓ SUBSTITUTE

40 \;\overset{?}{\le}\; 78.5\quad(\text{opening height})

↓ EVALUATE

40\,\text{in} \;\le\; 78.5\,\text{in} \;\Longrightarrow\; \Delta = +38.5\,\text{in}

Plain English: Along the opening height, the item is 40 in and the space allows 78.5 in — 38.5 in to spare.

CDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{29.1^2 + 40^2} \;\overset{?}{\le}\; \sqrt{27.6^2 + 78.5^2}

↓ EVALUATE

49.5\,\text{in} \;\le\; 83.2\,\text{in} \;\Longrightarrow\; \Delta = +33.7\,\text{in}

Plain English: Tilted corner-to-corner the face spans 49.5 in, inside the opening's 83.2 in diagonal — but a tilt only buys diagonal room, it can't widen the throat.

D3D space diagonal✓ PASS

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

↓ SUBSTITUTE

\sqrt{29.1^2 + 38^2 + 40^2}

↓ EVALUATE

62.4\,\text{in} \;\le\; 83.2\,\text{in} \;\Longrightarrow\; \Delta = +20.8\,\text{in}

Plain English: Corner to corner the item reaches 62.4 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

29.1 + 1.5 = 30.6

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

27.6 - 1.5 = 26.1

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

Orientation	Width	Height	Result	Note
74 cm×1.0 m (front/back)	-38 mm	98 cm	✕	Too wide
74 cm×97 cm (laid flat)	-38 mm	1.0 m	✕	Too wide
97 cm×1.0 m (sideways)	-263 mm	98 cm	✕	Too wide
97 cm×74 cm (laid flat)	-263 mm	1.3 m	✕	Too wide
1.0 m×74 cm (front/back)	-314 mm	1.3 m	✕	Too wide
1.0 m×97 cm (sideways)	-314 mm	1.0 m	✕	Too wide

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

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Will a recliner (74x97x102 cm) fit in a space?

Expert analysis

It exceeds the opening at the tightest point.

Dimensions

Space geometry

Handling

Similar calculations

Run your own fit check