Will a bookcase (144x38x147 cm) Fit in an Elevator?

+1 ft 10 in clearance

· ON THE HEIGHT AXIS

It exceeds the opening at the tightest point.

The height axis runs out of room.
Checked all 6 orientations — none fits.

4 ft 10 in vs 6 ft 8 in

Clearance +1 ft 10 in (+27.5%) on the HEIGHT axis

AAxis inequality · door width✓ PASS

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

↓ SUBSTITUTE

15 \;\overset{?}{\le}\; 40\quad(\text{door width})

↓ EVALUATE

15\,\text{in} \;\le\; 40\,\text{in} \;\Longrightarrow\; \Delta = +25\,\text{in}

Plain English: Along the door width, the item is 15 in and the space allows 40 in — 25 in to spare.

BAxis inequality · door height✓ PASS

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

↓ SUBSTITUTE

58 \;\overset{?}{\le}\; 80\quad(\text{door height})

↓ EVALUATE

58\,\text{in} \;\le\; 80\,\text{in} \;\Longrightarrow\; \Delta = +22\,\text{in}

Plain English: Along the door height, the item is 58 in and the space allows 80 in — 22 in to spare.

CAxis inequality · cab width✓ PASS

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

↓ SUBSTITUTE

15 \;\overset{?}{\le}\; 75\quad(\text{cab width})

↓ EVALUATE

15\,\text{in} \;\le\; 75\,\text{in} \;\Longrightarrow\; \Delta = +60\,\text{in}

Plain English: Along the cab width, the item is 15 in and the space allows 75 in — 60 in to spare.

DAxis inequality · cab depth✕ FAIL

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

↓ SUBSTITUTE

56.5 \;\overset{?}{\le}\; 50\quad(\text{cab depth})

↓ EVALUATE

56.5\,\text{in} \;>\; 50\,\text{in} \;\Longrightarrow\; \Delta = -6.5\,\text{in}

Plain English: Along the cab depth, the item is 56.5 in and the space allows 50 in — over by 6.5 in.

EAxis inequality · cab height✓ PASS

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

↓ SUBSTITUTE

58 \;\overset{?}{\le}\; 90\quad(\text{cab height})

↓ EVALUATE

58\,\text{in} \;\le\; 90\,\text{in} \;\Longrightarrow\; \Delta = +32\,\text{in}

Plain English: Along the cab height, the item is 58 in and the space allows 90 in — 32 in to spare.

FAxis inequality · entry depth✕ FAIL

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

↓ SUBSTITUTE

56.5 \;\overset{?}{\le}\; 50\quad(\text{entry depth})

↓ EVALUATE

56.5\,\text{in} \;>\; 50\,\text{in} \;\Longrightarrow\; \Delta = -6.5\,\text{in}

Plain English: Along the entry depth, the item is 56.5 in and the space allows 50 in — over by 6.5 in.

GDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{15^2 + 58^2} \;\overset{?}{\le}\; \sqrt{40^2 + 80^2}

↓ EVALUATE

59.9\,\text{in} \;\le\; 89.4\,\text{in} \;\Longrightarrow\; \Delta = +29.5\,\text{in}

Plain English: Tilted corner-to-corner the face spans 59.9 in, inside the opening's 89.4 in diagonal — but a tilt only buys diagonal room, it can't widen the throat.

H3D space diagonal✓ PASS

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

↓ SUBSTITUTE

\sqrt{56.5^2 + 15^2 + 58^2}

↓ EVALUATE

82.3\,\text{in} \;\le\; 89.4\,\text{in} \;\Longrightarrow\; \Delta = +7.1\,\text{in}

Plain English: Corner to corner the item reaches 82.3 in — keep that swing room in mind for the turn after.

IMinimum required space · entry depth✕ FAIL

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

↓ SUBSTITUTE

56.5 + 0 = 56.5

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

JLargest item that fits · entry depth✕ FAIL

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

↓ SUBSTITUTE

50 - 0 = 50

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

Orientation	Door	Depth	Cab	Rot	Result
1435×381×1473mm 15 in×4 ft 10 in	1 ft 9.5 in	✗ 6.5 in	2 ft 8 in	—	✕
1435×381×1473mm 4 ft 8 in×4 ft 10 in	✗ 1 ft 5 in	2 ft 11 in	2 ft 8 in	2 ft 7.5 in	✕
1435×381×1473mm 4 ft 8 in×15 in	1 ft 11 in	✗ 8 in	2 ft 8 in	2 ft 7.5 in	✕
1435×1473×381mm 4 ft 10 in×15 in	1 ft 9.5 in	✗ 6.5 in	✗ 6.5 in	—	✕
1435×1473×381mm 4 ft 8 in×15 in	1 ft 11 in	✗ 8 in	✗ 6.5 in	9 in	✕
1435×1473×381mm 4 ft 8 in×4 ft 10 in	✗ 1 ft 5 in	2 ft 11 in	✗ 6.5 in	9 in	✕
381×1435×1473mm 4 ft 8 in×4 ft 10 in	✗ 1 ft 5 in	2 ft 11 in	1 ft 6.5 in	—	✕
381×1435×1473mm 15 in×4 ft 10 in	1 ft 9.5 in	✗ 6.5 in	1 ft 6.5 in	2 ft 7.5 in	✕
381×1435×1473mm 15 in×4 ft 8 in	1 ft 11 in	✗ 8 in	1 ft 6.5 in	2 ft 7.5 in	✕
381×1473×1435mm 4 ft 10 in×4 ft 8 in	✗ 1 ft 5 in	2 ft 11 in	1 ft 5 in	—	✕
381×1473×1435mm 15 in×4 ft 8 in	1 ft 11 in	✗ 8 in	1 ft 5 in	2 ft 6 in	✕
381×1473×1435mm 15 in×4 ft 10 in	1 ft 9.5 in	✗ 6.5 in	1 ft 5 in	2 ft 6 in	✕
1473×1435×381mm 4 ft 8 in×15 in	1 ft 11 in	✗ 8 in	✗ 8 in	—	✕
1473×1435×381mm 4 ft 10 in×15 in	1 ft 9.5 in	✗ 6.5 in	✗ 8 in	9 in	✕
1473×1435×381mm 4 ft 10 in×4 ft 8 in	✗ 1 ft 5 in	2 ft 11 in	✗ 8 in	9 in	✕
1473×381×1435mm 15 in×4 ft 8 in	1 ft 11 in	✗ 8 in	2 ft 8 in	—	✕
1473×381×1435mm 4 ft 10 in×4 ft 8 in	✗ 1 ft 5 in	2 ft 11 in	2 ft 8 in	2 ft 6 in	✕
1473×381×1435mm 4 ft 10 in×15 in	1 ft 9.5 in	✗ 6.5 in	2 ft 8 in	2 ft 6 in	✕

How the elevator-cab check works

An elevator gate is a 2D opening (cab door) followed by a 3D box (cab interior); items must enter the door AND fit inside the cab.

Generate the 6 item permutations and test each against the elevator door opening (width × height).
For permutations that enter, test against the cab footprint (depth × width) once inside.
If the item is longer than the cab depth, check whether it fits rotated diagonally across the cab.
Subtract 1.5 in handling clearance on each axis for movers loading and pivoting the item.
Verdict ladder (verdict-tiers.js, shared with door): FITS ≥ 2 in; FITS_TIGHT 0.5–2 in; FITS_VERY_TIGHT 0–0.5 in; DOESN'T_FIT below.

Cab dimensions come from the building’s posted load plate; rotation diagonally fits longer items than the cab depth alone.

Similar calculations

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Will a bookcase (144x38x147 cm) fit in an elevator?

Expert analysis

It exceeds the opening at the tightest point.

Dimensions

Space geometry

Handling

Similar calculations

Run your own fit check