Item Fits

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DOESN'T FIT

It doesn't fitby 6.5 in too large

Will a sofa (246x119x94 cm) fit in a space?

sofa· 8 ft 1 in × 3 ft 11 in × 3 ft 1 in

−6.5 in (−203%)too large at tightest point

Item being fitted

sofa8 ft 1 in × 3 ft 11 in × 3 ft 1 in

Space clearance

Space32 in × 6 ft 8 in

Result

6.5 in too large

▸ width axis · binding

Expert analysis

A sofa measuring 8 ft 1 in × 3 ft 11 in × 3 ft 1 in does not fit in a space, but it's about 6.5 in too large at the tightest point. The binding dimension is width: that is the axis where the sofa runs out of room. We checked every orientation, and none places the sofa fully inside. One caveat: item is rigid and cannot be compressed, bent, or disassembled.

How we verified this

Binding axis: Width
Tightest clearance: 6.5 in over
Orientations checked: 6
Result: Width exceeds the opening

−6.5 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.

3 ft 1 in vs 31 in

Overage −6.5 in (−21.3%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

37 \;\overset{?}{\le}\; 30.5\quad(\text{opening width})

↓ EVALUATE

37\,\text{in} \;>\; 30.5\,\text{in} \;\Longrightarrow\; \Delta = -6.5\,\text{in}

Plain English: Along the opening width, the item is 37 in and the space allows 30.5 in — over by 6.5 in.

BAxis inequality · opening height✓ PASS

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

↓ SUBSTITUTE

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

↓ EVALUATE

47\,\text{in} \;\le\; 78.5\,\text{in} \;\Longrightarrow\; \Delta = +31.5\,\text{in}

Plain English: Along the opening height, the item is 47 in and the space allows 78.5 in — 31.5 in to spare.

CDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{37^2 + 47^2} \;\overset{?}{\le}\; \sqrt{30.5^2 + 78.5^2}

↓ EVALUATE

59.8\,\text{in} \;\le\; 84.2\,\text{in} \;\Longrightarrow\; \Delta = +24.4\,\text{in}

Plain English: Tilted corner-to-corner the face spans 59.8 in, inside the opening's 84.2 in diagonal — but a tilt only buys diagonal room, it can't widen the throat.

D3D space diagonal✕ FAIL

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

↓ SUBSTITUTE

\sqrt{97^2 + 47^2 + 37^2}

↓ EVALUATE

114\,\text{in} \;>\; 84.2\,\text{in} \;\Longrightarrow\; \Delta = -29.8\,\text{in}

Plain English: Corner to corner the item reaches 114 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

37 + 1.5 = 38.5

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

30.5 - 1.5 = 29

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

Orientation	Width	Height	Result	Note
3 ft 1 in×3 ft 11 in (sideways)	-6.5 in	2 ft 7.5 in	✕	Too wide
3 ft 11 in×3 ft 1 in (sideways)	-16.5 in	3 ft 5.5 in	✕	Too wide
3 ft 1 in×8 ft 1 in (front/back)	-6.5 in	-18.5 in	✕	Too wide
3 ft 11 in×8 ft 1 in (laid flat)	-16.5 in	-18.5 in	✕	Too wide
8 ft 1 in×3 ft 1 in (front/back)	-66.5 in	3 ft 5.5 in	✕	Too wide
8 ft 1 in×3 ft 11 in (laid flat)	-66.5 in	2 ft 7.5 in	✕	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.

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Will a sofa (246x119x94 cm) fit in a space?

Expert analysis

It exceeds the opening at the tightest point.

Dimensions

Space geometry

Handling

Similar calculations

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