Item Fits

+ New calculation

VERY TIGHT

It fitswith 0 in to spare

Will a chair (101x96x67 cm) fit in a space?

chair· 3 ft 4 in × 3 ft 2 in × 26 in

+0 in (−50%)of clearance at tightest point

Item being fitted

chair3 ft 4 in × 3 ft 2 in × 26 in

Space clearance

Space26 in × 6 ft 8 in

Result

0 in of clearance

▸ width axis · binding

Expert analysis

A chair measuring 40 in × 38 in × 26 in is a very tight fit in a space, with about 0 in to spare at the tightest point. The binding dimension is width: in its best-fitting orientation, the width is what comes closest to the limit, and it still clears. That margin already subtracts a 1.5 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

Tightest clearance: 0 in clear
Result: Fits in its best orientation

+0 in clearance

· ON THE WIDTH AXIS

It fits, with almost no clearance.

The width axis is the tightest, and it still clears.
A 1.5 in handling allowance is already subtracted.
No tilting or compression needed.

Clearance +0 in at the tightest point

AOptimal diagonal angle✓ PASS

\theta_{\text{opt}} = \arctan\!\left(\dfrac{h}{w}\right)

↓ SUBSTITUTE

\arctan\!\left(\dfrac{39.6}{26.2}\right)

Plain English: Closed-form angle that minimizes the rotated bounding box height.

BMinimum projected height at diagonal✓ PASS

h_{\min} = \dfrac{2\,w\,h}{\sqrt{w^2 + h^2}}

↓ SUBSTITUTE

\dfrac{2 \cdot 26.2 \cdot 39.6}{\sqrt{26.2^2 + 39.6^2}}

Plain English: Smallest projected height achievable when rotating the item.

CProjected width at angle✓ PASS

\text{projW}(\theta) = w\cos\theta + h\sin\theta

↓ SUBSTITUTE

26.2\cos(0^\circ) + 39.6\sin(0^\circ)

Plain English: Width of the item rotated by θ.

DProjected height at angle✓ PASS

\text{projH}(\theta) = w\sin\theta + h\cos\theta

↓ SUBSTITUTE

26.2\sin(0^\circ) + 39.6\cos(0^\circ)

Plain English: Height of the item rotated by θ.

EDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{26.4^2 + 39.7^2} \;\overset{?}{\le}\; \sqrt{26.4^2 + 80^2}

↓ EVALUATE

47.6\,\text{in} \;\le\; 84.3\,\text{in} \;\Longrightarrow\; \Delta = {+36.6}\,\text{in}

Plain English: Tilted corner-to-corner the face spans 47.6 in, inside the opening's 84.3 in diagonal — but a tilt only buys diagonal room, it can't widen the throat.

F3D space diagonal✓ PASS

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

↓ SUBSTITUTE

\sqrt{39.6^2 + 37.8^2 + 26.2^2}

↓ EVALUATE

60.7\,\text{in} \;\le\; 84.3\,\text{in} \;\Longrightarrow\; \Delta = {+23.6}\,\text{in}

Plain English: Corner to corner the item reaches 60.7 in — keep that swing room in mind for the turn after.

GMinimum required space · opening width✕ FAIL

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

↓ SUBSTITUTE

26.4 + 1.5 = 27.9

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

HLargest item that fits · opening width✕ FAIL

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

↓ SUBSTITUTE

26.4 - 1.5 = 24.9

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

Orientation	Width	Height	Result	Note
✓ chosen67 cm×101 cm (front/back)	-38 mm	986 mm	✓
67 cm×96 cm (sideways)	-38 mm	1031 mm	✓
67 cm×101 cm (front/back)	-33 mm	989 mm	✕	Too wide
67 cm×96 cm (sideways)	-33 mm	1034 mm	✕	Too wide
96 cm×67 cm (sideways)	-328 mm	1329 mm	✕	Too wide
96 cm×101 cm (laid flat)	-328 mm	989 mm	✕	Too wide
101 cm×67 cm (front/back)	-373 mm	1329 mm	✕	Too wide
101 cm×96 cm (laid flat)	-373 mm	1034 mm	✕	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

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

34 in glider chair in a 27 in spaceDOESN'T FIT

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

Run your own fit check

Ask about a different item, door, or route. Free, no signup.

Will a chair (101x96x67 cm) fit in a space?

Expert analysis

It fits, with almost no clearance.

Dimensions

Space geometry

Handling

Other assumptions

Similar calculations

Run your own fit check