Sandbox Calculator

Calculate how much sand you need for your child's sandbox based on age and dimensions

Sandbox Shape

Round

Circular sandbox

Formula: π × r² × depth

4-sided (Rectangle/Square)

Rectangular or square sandbox

Formula: length × width × depth

5-sided (Pentagon)

Pentagonal sandbox

Formula: (side² × √(25 + 10√5) / 4) × depth

6-sided (Hexagon)

Hexagonal sandbox

Formula: (3 × √3/2 × side²) × depth

Custom Shape

Enter your own area

Formula: area × depth

Child's Age & Sand Depth

Ideal for creative play

cm

Recommended depth: 12.7 cm

Sandbox Dimensions

Longest side of rectangle

Shorter side of rectangle

Example Calculation

Rectangular Sandbox for Preschooler

Dimensions: 150 cm × 100 cm

Age: 3-5 years old (12.7 cm depth)

Volume: 1.5 × 1.0 × 0.127 = 0.191 m³

Sand needed: 0.191 × 1601.9 = ~306 kg

Sandbags: 14 bags (50 lbs each)

Round Sandbox for Toddler

Radius: 75 cm

Age: 2-3 years old (7.6 cm depth)

Volume: π × 0.75² × 0.076 = ~0.134 m³

Sand needed: ~215 kg or 10 sandbags

Age-Based Depth Guide

1-2 years old (infant)
Safe shallow depth for infants
6.4 cm
2-3 years old (toddler)
Perfect for early exploration
7.6 cm
3-5 years old (preschool)
Ideal for creative play
12.7 cm
5-12 years old (gradeschool)
Deep enough for complex building
22.9 cm

Safety Tips

⚠️

Use only clean, playground-grade sand

🐱

Cover sandbox when not in use to prevent animals

☀️

Provide shade during hot summer days

🧽

Regular cleaning and sand replacement needed

Sand Types

Play Sand

Fine, clean sand specifically for children's play

Washed Sand

Cleaned sand free from dust and debris

Silica Sand

Fine, uniform particles ideal for molding

Understanding Sandbox Calculations

Why Age Matters

The depth of sand in a sandbox should be adjusted based on your child's age and developmental stage. Younger children need shallower sand for safety, while older children can enjoy deeper sand for more complex building and creative play.

Shape Considerations

  • Round: Space-efficient, no sharp corners
  • Rectangle: Most common, fits well against walls
  • Pentagon/Hexagon: Unique shapes, more interesting design

Sand Calculation Formulas

Round Sandbox

Volume = π × radius² × depth

Rectangular Sandbox

Volume = length × width × depth

Sand Weight

Sand density: 1,601.9 kg/m³ (100 lbs/ft³)

Pro Tip: Order 10-15% extra sand to account for settling and future top-ups.