Item Fits

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DOESN'T FIT

It doesn't fitby 4.5 in too large

Will a box (102x102x70 cm) fit in a space?

box· 3 ft 4 in × 3 ft 4 in × 28 in

−4.5 in (−62%)too large at tightest point

Item being fitted

box3 ft 4 in × 3 ft 4 in × 28 in

Space clearance

Space25 in × 6 ft 7 in

Result

4.5 in too large

▸ width axis · binding

Expert analysis

A box measuring 40 in × 40 in × 28 in does not fit in a space, but it's about 4.5 in too large at the tightest point. The binding dimension is width: that is the axis where the box runs out of room. We checked every orientation, and none places the box fully inside. One caveat: item is rigid and cannot be compressed, bent, or disassembled.

How we verified this

Binding axis: Width
Tightest clearance: 4.5 in over
Orientations checked: 6
Result: Width exceeds the opening

−4.5 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.

28 in vs 23 in

Overage −4.5 in (−18.2%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

27.6 \;\overset{?}{\le}\; 23.3\quad(\text{opening width})

↓ EVALUATE

27.6\,\text{in} \;>\; 23.3\,\text{in} \;\Longrightarrow\; \Delta = -4.3\,\text{in}

Plain English: Along the opening width, the item is 27.6 in and the space allows 23.3 in — over by 4.3 in.

BAxis inequality · opening height✓ PASS

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

↓ SUBSTITUTE

40.2 \;\overset{?}{\le}\; 77.2\quad(\text{opening height})

↓ EVALUATE

40.2\,\text{in} \;\le\; 77.2\,\text{in} \;\Longrightarrow\; \Delta = +37.1\,\text{in}

Plain English: Along the opening height, the item is 40.2 in and the space allows 77.2 in — 37.1 in to spare.

CDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{27.6^2 + 40.2^2} \;\overset{?}{\le}\; \sqrt{23.3^2 + 77.2^2}

↓ EVALUATE

48.7\,\text{in} \;\le\; 80.7\,\text{in} \;\Longrightarrow\; \Delta = +32\,\text{in}

Plain English: Tilted corner-to-corner the face spans 48.7 in, inside the opening's 80.7 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{40.2^2 + 40.2^2 + 27.6^2}

↓ EVALUATE

63.1\,\text{in} \;\le\; 80.7\,\text{in} \;\Longrightarrow\; \Delta = +17.6\,\text{in}

Plain English: Corner to corner the item reaches 63.1 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

27.6 + 1.5 = 29.1

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

23.3 - 1.5 = 21.8

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

Orientation	Width	Height	Result	Note
70 cm×1.0 m (front/back)	-108 mm	94 cm	✕	Too wide
70 cm×1.0 m (sideways)	-108 mm	94 cm	✕	Too wide
1.0 m×70 cm (front/back)	-428 mm	1.3 m	✕	Too wide
1.0 m×70 cm (sideways)	-428 mm	1.3 m	✕	Too wide
1.0 m×1.0 m (laid flat)	-428 mm	94 cm	✕	Too wide
1.0 m×1.0 m (laid flat)	-428 mm	94 cm	✕	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 box (102x102x70 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