Item Fits

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DOESN'T FIT

It doesn't fitby 4.5 in too large

Will a standing desk (122x76x114 cm) fit in a space?

standing desk· 4 ft × 30 in × 3 ft 9 in

−4.5 in (−78%)too large at tightest point

Item being fitted

standing desk4 ft × 30 in × 3 ft 9 in

Space clearance

Space27 in × 6 ft 8 in

Result

4.5 in too large

▸ width axis · binding

Expert analysis

A standing desk measuring 48 in × 30 in × 45 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 standing desk runs out of room. We checked every orientation, and none places the standing desk 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.

30 in vs 26 in

Overage −4.5 in (−17.6%) on the WIDTH axis

AAxis inequality · opening width✕ FAIL

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

↓ SUBSTITUTE

30 \;\overset{?}{\le}\; 25.5\quad(\text{opening width})

↓ EVALUATE

30\,\text{in} \;>\; 25.5\,\text{in} \;\Longrightarrow\; \Delta = -4.5\,\text{in}

Plain English: Along the opening width, the item is 30 in and the space allows 25.5 in — over by 4.5 in.

BAxis inequality · opening height✓ PASS

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

↓ SUBSTITUTE

45 \;\overset{?}{\le}\; 78.5\quad(\text{opening height})

↓ EVALUATE

45\,\text{in} \;\le\; 78.5\,\text{in} \;\Longrightarrow\; \Delta = +33.5\,\text{in}

Plain English: Along the opening height, the item is 45 in and the space allows 78.5 in — 33.5 in to spare.

CDiagonal clearance · Pythagorean✓ PASS

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

↓ SUBSTITUTE

\sqrt{30^2 + 45^2} \;\overset{?}{\le}\; \sqrt{25.5^2 + 78.5^2}

↓ EVALUATE

54.1\,\text{in} \;\le\; 82.6\,\text{in} \;\Longrightarrow\; \Delta = +28.5\,\text{in}

Plain English: Tilted corner-to-corner the face spans 54.1 in, inside the opening's 82.6 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{48^2 + 30^2 + 45^2}

↓ EVALUATE

72.3\,\text{in} \;\le\; 82.6\,\text{in} \;\Longrightarrow\; \Delta = +10.2\,\text{in}

Plain English: Corner to corner the item reaches 72.3 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

30 + 1.5 = 31.5

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

25.5 - 1.5 = 24

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

Orientation	Width	Height	Result	Note
30 in×3 ft 9 in (sideways)	-4.5 in	2 ft 9.5 in	✕	Too wide
30 in×4 ft (laid flat)	-4.5 in	2 ft 6.5 in	✕	Too wide
3 ft 9 in×4 ft (front/back)	-19.5 in	2 ft 6.5 in	✕	Too wide
3 ft 9 in×30 in (sideways)	-19.5 in	4 ft 0.5 in	✕	Too wide
4 ft×3 ft 9 in (front/back)	-22.5 in	2 ft 9.5 in	✕	Too wide
4 ft×30 in (laid flat)	-22.5 in	4 ft 0.5 in	✕	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 standing desk (122x76x114 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