Will a mattress (97x191x25 cm) Fit in a Room?

−5 ft 3.5 in over

· ON THE DEPTH AXIS

Your mattress will not fit in the room — but only just — it is a hair over the limit at the tightest point.

Handling: The item exceeds the space in every orientation — standard entry won't work.

6 ft 3 in vs 12 in

Overage −5 ft 3.5 in (−545.8%) on the DEPTH axis

ARoom coverage ratio✕ FAIL

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

↓ SUBSTITUTE

\dfrac{2849}{146}

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

BAxis inequality · room long✕ FAIL

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

↓ SUBSTITUTE

75 \;\overset{?}{\le}\; 12.6\quad(\text{room long})

↓ EVALUATE

75\,\text{in} \;>\; 12.6\,\text{in} \;\Longrightarrow\; \Delta = -62.4\,\text{in}

Plain English: Along the room long, the item is 75 in and the space allows 12.6 in — over by 62.4 in.

CMinimum required space · room long✕ FAIL

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

↓ SUBSTITUTE

75 + 0 = 75

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

DLargest item that fits · room long✕ FAIL

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

↓ SUBSTITUTE

12.6 - 0 = 12.6

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

EDiagonal clearance · Pythagorean✕ FAIL

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

↓ SUBSTITUTE

\sqrt{75^2 + 38^2} \;\overset{?}{\le}\; \sqrt{12.6^2 + 11.6^2}

↓ EVALUATE

84.1\,\text{in} \;>\; 17.1\,\text{in} \;\Longrightarrow\; \Delta = -66.9\,\text{in}

Plain English: Even tilted corner-to-corner the face spans 84.1 in, past the opening's 17.1 in diagonal — angling it doesn't recover the fit.

F3D space diagonal✓ PASS

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

↓ SUBSTITUTE

\sqrt{75^2 + 38^2 + 10^2}

↓ EVALUATE

84.7\,\text{in} \;\le\; 97.6\,\text{in} \;\Longrightarrow\; \Delta = +12.9\,\text{in}

Plain English: Corner to corner the item reaches 84.7 in — keep that swing room in mind for the turn after.

Orientation	Min walkway	Strategy	Result
0° (as-is), long wall	0"	—	✕
0° (as-is), short wall	0"	—	✕
90° rotated, long wall	0"	—	✕
90° rotated, short wall	0"	—	✕
diagonal (1°–89°)	0"	—	✕

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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