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LuxPlan
169 sq ft · 400 lux target

13×13 workshop:
16 lights

16 fixtures A 13×13 ft workshop (169 sq ft) needs approximately 16 recessed lights at 800 lumens each — about 13,395 lumens in total — laid out 4 across by 4 deep.

Space them 3.3 ft apart along the 13 ft wall and 3.3 ft apart along the 13 ft wall, starting 1.6 ft from the end walls.

Fixtures16at 800 lm each
Total lumens13,395to hit 400 lux
Spacing3.3′× 3.3′ apart
Wall offset1.6′from the end wall

The ceiling plan

Drawn to scale, with each fixture at its computed position and the pale circles showing roughly where each one lands on the working plane.

13 ft 13 ft 4 across × 4 deep · 3.3 ft × 3.3 ft apart · 1.6 ft from the end walls

Same room, different fixtures

If you have already chosen a fitting, read across from its lumen output.

Fixture outputRough equivalentFixtures neededSuggested grid
450 lm 40 W incandescent 305 × 6
650 lm 50 W incandescent 204 × 5
800 lm 60 W incandescent 164 × 4
1000 lm 75 W incandescent 164 × 4
1200 lm 100 W incandescent 123 × 4

Fewer, brighter fixtures give more contrast; more, dimmer fixtures give flatter, more even light. Both rows deliver the same total.

How the 16 was calculated

Target illuminance for a workshop400 luxpublished range 500–750 lux
Floor area15.7 m²169 sq ft
Mounting height above the working plane5 ft8 ft ceiling, 3.0 ft working plane
Room index1.29(L × W) ÷ (Hm × (L + W))
Utilisation factor0.59from the room index, light surfaces
Maintenance factor0.8dirt and lamp depreciation
Lumens required13,395 lm400 × 15.7 ÷ (0.59 × 0.8)
Fixtures at 800 lm16delivering about 382 lux

The highest requirement here. The ceiling is sized to 400 lux with task lighting assumed over the bench — machine and detail work needs both quantity and good colour rendering.

Other ceiling heights

CeilingFixturesGridSpacingMax spacing
8 ft164 × 43.3′ × 3.3′6.6′
9 ft204 × 53.3′ × 2.6′7.9′
10 ft204 × 53.3′ × 2.6′9.2′
12 ft255 × 52.6′ × 2.6′11.8′

Questions

How many recessed lights do I need for a 13x13 workshop?

About 16 fixtures at 800 lumens each, arranged 4 across by 4 deep. That gives roughly 382 lux across 169 square feet, against a target of 400 lux for a workshop.

How many lumens does a 13x13 workshop need?

Roughly 13,395 lumens in total. That comes from 400 lux over 15.7 m², divided by a utilisation factor of 0.59 and a maintenance factor of 0.8 — the light that never reaches the working plane has to be paid for up front.

How far apart should the lights be in a 13x13 room?

3.3 ft apart along the 13 ft wall and 3.3 ft apart along the 13 ft wall, with the outer row about 1.6 ft in from the end walls — half a spacing. With a 8 ft ceiling the maximum sensible spacing is around 6.6 ft before the floor starts to show scallops.

Does the ceiling height change the answer?

Yes, in two ways. A higher ceiling spreads each fixture's light over a wider area, so fixtures can sit further apart — but it also drops the light level reaching the floor, so a taller room generally needs more total lumens. At 8 ft the room index works out at 1.29, giving a utilisation factor of 0.59.

Computed with the lumen method — see how it works and where it is weak. Planning guidance only, not an electrical design. Fixture counts are a starting point — follow your local wiring rules and use a licensed electrician for the installation.

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