Calculator workspace

Cathedral Wall
Calculator — Sloped Ceiling Area

Enter the wall width and two heights to calculate the area of a cathedral or vaulted ceiling wall.

RECTANGLE DIMENSIONS
Material Waste Factor optional
%
Estimate Material Cost optional
ft²
Results
Square Feet
Square Inches
Square Yards
Square Meters
Acres

Use the Cathedral Square Foot Calculator to measure walls with vaulted or cathedral ceilings. Enter the wall width and the two different wall heights (short side and tall side) to calculate the area of the right trapezoid wall shape. Perfect for painting, siding, and insulation projects on walls with sloped ceiling lines.

Explore Our Square Footage Calculators

Choose a specialized calculator for your exact project — rooms, shapes, materials, outdoor areas, and unit conversions.

What is cathedral wall square footage?

Cathedral wall square footage is the surface area of a wall with a sloped or vaulted ceiling, measured in square feet. A cathedral wall forms a right trapezoid shape. The formula is: Area = 1/2 x Width x (Height 1 + Height 2). This calculation is essential for painting, insulation, and siding on walls beneath cathedral or vaulted ceilings.

1 ft² = 144 in² 1 ft 1 ft (12 in)

Getting started

How to Calculate Cathedral Wall Square Footage

The formula for cathedral wall area is: Area = 1/2 x Width x (Height 1 + Height 2). Width is the wall span. Height 1 is the short wall height. Height 2 is the tall wall height. A cathedral wall 14 feet wide with heights of 8 feet and 12 feet has an area of 140 square feet.

1. Select your shape

Choose from rectangle, circle, triangle, trapezoid, L-shape, annulus, or wall-and-window layouts to match your project.

2. Enter your measurements

Input dimensions in feet, inches, yards, meters, or centimeters. The Square Foot Calculator converts units automatically.

3. Get area and cost

View results in square feet, square yards, square meters, and acres. Add a material price per unit to estimate total project cost.

20 ft 15 ft 300 ft² Area: 300 ft² Order: 330 ft² +10% waste factor included

Quick reference

Reference

1 acre = 43,560 square feet
1 square yard = 9 square feet
1 square meter = 10.764 square feet
1 square inch = 0.00064516 square feet
Area: 300 ft² × Price: $2.80 / sq ft Total: $840.00 estimated material cost

Material pricing

Calculate Cost of Materials

Enter the price per square foot of material to estimate total cost. The calculator accepts pricing in square feet, square inches, square yards, or square meters and converts to the correct total based on your area.

There are 2 steps to calculate material cost:

  1. Enter the price per unit area. For tiling projects, enter the price per box and the number of square feet each box covers. For carpet, enter the cost per square yard. For flooring installation with hardwood or laminate, enter the cost per square foot.
  2. Select the unit of area that matches your pricing. The Square Foot Calculator multiplies your total area by the unit price to produce an estimated material cost, including labor costs when added to the per-unit price.

To calculate the volume of bulk materials like mulch or gravel for landscaping, convert area to cubic yards or cubic meters by multiplying the area by the depth of material.

Core formula

Basic Formula for Area

Area is the amount of space occupied by a 2-dimensional shape. The shape could be a floor, a wall, a playground, or a field. The simplest formula for area applies to any rectangular shape:

Area = Length × Width

Measure the length and width of the space in feet. Multiply the two values to get the area in square feet. A rectangular room that is 12 feet (3.66 meters) long and 10 feet (3.05 meters) wide has an area of 120 sq ft (11.15 sq m).

Square yardage is area measured in yards, and square meters is area measured in meters. Measure in feet, find the area in square feet, then convert to the unit you need.

For an L-shape room, split the floor into 2 rectangular sections, calculate each area, and add the results. Convert all measurements to the same unit before multiplying, if your dimensions are in different units like inches and feet.

Length Width L × W Area = L × W Example: 12 ft × 10 ft = 120 ft²

Basic Length Conversion

Convert other units of measure to feet with these 4 formulas:

From To Feet Formula
InchesFeetDivide by 12
YardsFeetMultiply by 3
MetersFeetMultiply by 3.28084
CentimetersFeetDivide by 30.48

For example, 48 inches ÷ 12 = 4 feet. A measurement of 5 meters × 3.28084 = 16.40 feet. The Square Foot Calculator handles these conversions automatically when you select the input unit.

Unit conversion

Area Conversion

Measure your space in inches or centimeters, calculate area in square inches or square centimeters, then convert to any unit you need, including square feet, square yards, square meters, or acres.

Unit Square Feet Equivalent
1 sq ft144 sq in
1 sq yd9 sq ft
1 sq m10.764 sq ft
1 acre43,560 sq ft

A 300 sq ft room equals 33.33 sq yd, 27.87 sq m, or 43,200 sq in. The Square Footage Calculator displays all conversions at once so you can compare units for flooring, carpet, or tiling projects without manual math.

Shape formulas

Area Formulas for Different Shapes

The Square Foot Calculator supports 11 shape formulas for construction, interior design, landscaping, and flooring projects. Each formula below includes a diagram with labeled dimensions.

Cathedral Wall

Calculate square foot of a cathedral wall (right trapezoid)

H1 H2 Width Area = ½ × Width × (H1 + H2)

Using measurements in feet: Area (ft²) = ½ × Width × (Height 1 + Height 2). This formula applies to a wall with a sloped top edge, typical of rooms with a cathedral ceiling. The geometric shape is a right trapezoid. A cathedral wall 14 feet (4.27 meters) wide with heights of 8 feet (2.44 meters) and 12 feet (3.66 meters) has an area of 140 sq ft.

Waste factor

Adding 10% Surplus for Materials

Add a 10% surplus to your calculated area to account for material waste during cutting, breakage, and pattern matching. This waste factor applies to flooring, carpet, tiling projects, and landscaping materials.

Original Area 100 sq ft
+10%
Order Amount 110 sq ft
Total Material = Area × 1.10

A room with 200 sq ft of floor area needs 220 sq ft of material: 200 × 1.10 = 220 sq ft. Increase the surplus to 15% (multiply by 1.15) for diagonal flooring installation patterns or complex tiling projects with many cuts. The Square Foot Calculator includes a waste factor field for this calculation.

FAQ

Frequently Asked Questions

How do I calculate square footage of a cathedral wall?

Use the formula Area = 1/2 x Width x (Height 1 + Height 2). Measure the wall width and both heights (short side and tall side) where the ceiling slopes.

What shape is a cathedral wall?

A cathedral wall is a right trapezoid - a four-sided shape with one vertical side (short wall), one sloped side (ceiling line), a horizontal top and bottom.

How much paint do I need for a cathedral wall?

Calculate the cathedral wall area, subtract windows, and divide by 350-400 sq ft per gallon. A 140 sq ft cathedral wall needs about 0.4 gallons per coat.

Can I use this for walls with vaulted ceilings?

Yes, this calculator is specifically designed for walls where the ceiling slopes from one height to another. Enter the two different wall heights and the wall width.

How do I measure cathedral ceiling height?

Measure the wall height at both ends where the ceiling meets the wall. The short height is at the low end, and the tall height is at the peak or high end.

What is the difference between cathedral and vaulted ceilings?

Cathedral ceilings follow the roof pitch symmetrically, while vaulted ceilings can have various asymmetric shapes. Both create walls with unequal heights that this calculator can measure.

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