Cuboid Surface Area Calculator
Calculate total and lateral surface area of a cuboid with detailed face area breakdown
Calculate Cuboid Surface Area
Surface Area Results
Individual Face Areas:
Formula Breakdown:
Total Surface Area: SA = 2(lw + wh + lh)
Calculation: SA = 2(0×0 + 0×0 + 0×0)
Calculation: SA = 2(0.00 + 0.00 + 0.00)
Result: SA = 2(0.00) = 0.00 cm²
Additional Properties:
Types of Surface Area
Example Calculation
Book Surface Area Example
Dimensions: Length = 10 cm, Width = 7 cm, Height = 8 cm
Individual Face Areas:
• Top & Bottom: 2 × (10 × 7) = 2 × 70 = 140 cm²
• Front & Back: 2 × (10 × 8) = 2 × 80 = 160 cm²
• Left & Right: 2 × (7 × 8) = 2 × 56 = 112 cm²
Total Surface Area: 140 + 160 + 112 = 412 cm²
Formula Application
SA = 2(lw + wh + lh)
SA = 2(10×7 + 7×8 + 10×8)
SA = 2(70 + 56 + 80)
SA = 2(206) = 412 cm²
Surface Area Types
Total Surface Area
Sum of all 6 rectangular faces
Used for: Painting, wrapping, material coverage
Lateral Surface Area
Only the 4 side faces (no top/bottom)
Used for: Wallpaper, side panels, containers
Face Area
Individual rectangular face calculation
Used for: Window areas, door panels, specific sections
Real-World Applications
Painting walls and surfaces
Packaging and wrapping materials
Construction material estimation
Brick and tile calculations
Book cover and label design
Quick Tips
Ensure all dimensions use the same unit
Surface area unit is always squared (²)
A cuboid has 6 faces, 8 vertices, 12 edges
Opposite faces are identical in area
Understanding Cuboid Surface Area
What is Surface Area?
Surface area is the total area of all the surfaces of a three-dimensional object. For a cuboid, it's the sum of the areas of all six rectangular faces. This measurement is crucial for determining how much material is needed to cover or wrap the entire shape.
Why Calculate Surface Area?
- •Determine paint or coating requirements
- •Calculate packaging material needs
- •Estimate construction material costs
- •Design heat transfer calculations
Surface Area Formula
Total Surface Area
SA = 2(lw + wh + lh)
Where l = length, w = width, h = height
Lateral Surface Area
LSA = 2h(l + w)
Excludes top and bottom faces
Face Areas
• Top/Bottom: A₁ = l × w
• Front/Back: A₂ = l × h
• Left/Right: A₃ = w × h