Will a king (193x203x36 cm) Fit in a Room?

+4 ft 4 in clearance

· ON THE DEPTH AXIS

Your king will fit in the room, with comfortable walkway space around it.

Handling: Position the item in the room using the orientation that maximizes walkway clearance.

6 ft 8 in vs 11 ft

Clearance +4 ft 4 in (+39.4%) on the DEPTH axis

ARoom coverage ratio✓ PASS

\text{coverage} = \dfrac{A_{\text{item}}}{A_{\text{room}}}

↓ SUBSTITUTE

\dfrac{6080}{19011}

Plain English: Share of the room floor consumed by the placed item.

BPer-side walkway clearance✓ PASS

g_{\min} = \min_i\, g_i

↓ SUBSTITUTE

\min(0, 1321, 1728, 0)

Plain English: Narrowest walkway gap around a placed item.

CWalkway threshold classification✓ PASS

\text{tier}(g_{\min})

↓ SUBSTITUTE

\text{tier}(52)

Plain English: Maps the narrowest walkway to a walkway tier (DOESNT_FIT / TIGHT / FITS).

DPlacement score✓ PASS

\text{score} = \min_i\, c_i / r_i

↓ SUBSTITUTE

\text{score} = 2.832

Plain English: The worst-axis clearance ratio at the chosen placement — the tightest axis governs which orientation wins.

EMinimum required space · room depth✓ PASS

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

↓ SUBSTITUTE

76 + 24 = 100

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

FLargest item that fits · room depth✓ PASS

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

↓ SUBSTITUTE

144 - 24 = 120

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

Orientation	Min walkway	Strategy	Result
✓ chosen0° (as-is), long wall	34 in	centered	✓
0° (as-is), long wall	4 ft 4 in	wall_left	✓
0° (as-is), long wall	4 ft 4 in	wall_right	✓
0° (as-is), long wall	26 in	floating	✓
0° (as-is), short wall	28 in	centered	✓
0° (as-is), short wall	4 ft 8 in	wall_left	✓
0° (as-is), short wall	4 ft 8 in	wall_right	✓
0° (as-is), short wall	28 in	floating	✓
90° rotated, long wall	32 in	centered	✓
90° rotated, long wall	4 ft 8 in	wall_left	✓
90° rotated, long wall	4 ft 8 in	wall_right	✓
90° rotated, long wall	28 in	floating	✓
90° rotated, short wall	26 in	centered	✓
90° rotated, short wall	4 ft 4 in	wall_left	✓
90° rotated, short wall	4 ft 4 in	wall_right	✓
90° rotated, short wall	26 in	floating	✓
1° diagonal	33 in	centered	✓

Margins shown are calculated; allow ±¼ in for tape-measure precision.

How the room-fit check works

A room is a 2D footprint — width and depth matter for placement, plus the walkway gap left between the item and walls or other obstacles.

Place the item footprint inside the room rectangle in the orientation it will be used.
Compute walkway gaps from each item edge to every wall and to other obstacles in the room.
Take the minimum walkway gap — that’s the daily-traffic clearance the room must support.
Verdict ladder (getRoomVerdictTier): walkway <18 in DOESN'T_FIT; 18–24 VERY_TIGHT; 24–36 TIGHT; 36–48 FITS; ≥48 confident FITS.

Walkway thresholds use standard ergonomic minimums; a confident mover may negotiate gaps tighter than the recommended tier.

Similar calculations

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