Paver calculator

A 12 × 12 ft patio of 4 × 8 in pavers takes 713 pavers with 10% for cuts, 5.07 tons of gravel for a 6 in compacted base and 0.44 cubic yards of bedding sand.

713 pavers
5.07 tons of base gravel
0.44 cu yd of sand
Area144 sq ft (16 sq yd)
Pavers713 (4.5 per sq ft, plus 10% for cuts)
Base gravel2.67 cu yd compacted · 5.07 tons of crusher run at 1.9 tons per compacted yard
Bedding sand0.44 cu yd · 0.60 tons · 24 bags of 0.5 cu ft

How it was worked out

Area: 12 ft × 12 ft = 144 sq ft

144 ÷ (4 × 8) = 4.5 pavers per sq ft × 144 sq ft × 1.1 = 713 pavers

How many pavers

Divide 144 by the paver's length × width in inches to get pavers per square foot, then multiply by the area. Paver sizes are nominal and include the narrow joint, so the count comes out right. Add extra for cut pieces at the edges: a simple straight layout needs the least, and diagonal or herringbone patterns need the most.

Area: 12 ft × 12 ft = 144 sq ft

144 ÷ (4 × 8) = 4.5 pavers per sq ft × 144 sq ft × 1.1 = 713 pavers

Pavers per area
Paver sizePavers per sq ftPer 100 sq ft with 10%
4 × 8 in4.5495
6 × 6 in4440
6 × 9 in2.667294
12 × 12 in1110
16 × 16 in0.56362
12 × 24 in0.555
24 × 24 in0.2528

Base and bedding

Pavers sit on a 1 in bed of coarse sand over a compacted gravel base. Unilock's installation guide gives these base thicknesses, using ¾ in crusher run or ¾ in clear stone:

Typical paver base thickness (Unilock)
UseCompacted gravel base
Patios6 to 8 in
Walkways6 to 8 in
Pool decks6 to 12 in
Driveways10 to 14 in

Clay soil needs a deeper base and sandy soil less, so ask your paver supplier what they recommend for your ground. The calculator weighs the base as compacted crusher run at 1.9 tons per cubic yard, the middle of the Wisconsin DOT's range of 1.75 to 2.1, and the sand as loose sand at 2,700 lb per yard.

How deep to dig

Add the base, the 1 in of sand and the thickness of the pavers. A patio with a 6 in base and 2⅜ in pavers needs a dig of about 9⅜ in below the finished surface, plus any slope you build in for drainage.

Sources