Item Fits

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DOESN'T FIT

It doesn't fitby 6.5 in too large

Will a glider chair (86x81x107 cm) fit in a space?

glider chair· 34 in × 32 in × 3 ft 6 in

−6.5 in (−26%)too large at tightest point

Item being fitted

glider chair34 in × 32 in × 3 ft 6 in

Space clearance

Space27 in × 6 ft 8 in

Result

6.5 in too large

▸ width axis · binding

Expert analysis

A glider chair measuring 34 in × 32 in × 42 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 glider chair runs out of room. The persisted calculation steps support the reported tightest-point margin. 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
Result: Width does not clear

−6.5 in over

· ON THE WIDTH AXIS

It exceeds the opening at the tightest point.

The width axis runs out of room.
A 1.5 in handling allowance is already subtracted.

32 in vs 26 in

Overage −6.5 in (−25.4%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

32 \;\overset{?}{\le}\; 25.5\quad(\text{opening width})

↓ EVALUATE

32\,\text{in} \;>\; 25.5\,\text{in} \;\Longrightarrow\; \Delta = {-6.5}\,\text{in}

Plain English: Along the opening width, the item is 32 in and the space allows 25.5 in — over by 6.5 in.

BAxis inequality · opening height✓ PASS

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

↓ SUBSTITUTE

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

↓ EVALUATE

42\,\text{in} \;\le\; 78.5\,\text{in} \;\Longrightarrow\; \Delta = {+36.5}\,\text{in}

Plain English: Along the opening height, the item is 42 in and the space allows 78.5 in — 36.5 in to spare.

CDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{32^2 + 42^2} \;\overset{?}{\le}\; \sqrt{25.5^2 + 78.5^2}

↓ EVALUATE

52.8\,\text{in} \;\le\; 82.6\,\text{in} \;\Longrightarrow\; \Delta = {+29.7}\,\text{in}

Plain English: Tilted corner-to-corner the face spans 52.8 in, inside the opening's 82.6 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{34^2 + 32^2 + 42^2}

↓ EVALUATE

62.8\,\text{in} \;\le\; 82.6\,\text{in} \;\Longrightarrow\; \Delta = {+19.7}\,\text{in}

Plain English: Corner to corner the item reaches 62.8 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

32 + 1.5 = 33.5

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

25.5 - 1.5 = 24

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

Orientation	Width	Height	Result	Note
32 in×42 in (sideways)	-6.5 in	36.5 in	✕	Too wide
32 in×34 in (laid flat)	-6.5 in	44.5 in	✕	Too wide
34 in×42 in (front/back)	-8.5 in	36.5 in	✕	Too wide
34 in×32 in (laid flat)	-8.5 in	46.5 in	✕	Too wide
42 in×34 in (front/back)	-16.5 in	44.5 in	✕	Too wide
42 in×32 in (sideways)	-16.5 in	46.5 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.

Similar calculations

35 in wingback chair in a 32 in spaceDOESN'T FIT

3 ft chair in a 26 in spaceVERY TIGHT

4 ft oversized chair in a 35 in spaceDOESN'T FIT

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Will a glider chair (86x81x107 cm) fit in a space?

Expert analysis

It exceeds the opening at the tightest point.

Dimensions

Space geometry

Handling

Other assumptions

Similar calculations

Run your own fit check