MEASURED QUANTITY SENSITIVITY

Equal-pitch hip roof geometry — vertical rise scenarios.

How does changing vertical rise affect equal-pitch hip roof geometry when the other inputs stay fixed?

What this decision changes

This measured quantity or supplied dimension enters the method on its stated unit basis. Other inputs stay fixed so its effect can be separated from net deductions, stock constraints or purchase rounding. Method basis: Equal pitches imply a ridge equal to plan length minus plan width. Unequal pitches, offset ridges, dormers and penetrations require separately measured planes.

The focus is specified vertical rise. All other shared inputs remain fixed for each evaluated range.

Area = 2×side trapezoid + 2×hip triangleEqual-Pitch Hip Roof Geometry Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only specified vertical rise; the other entered values stay fixed.

Display units

9 evaluated scenarios

Baseline: Four-plane roof area — 30 m². Rejected combinations remain visible below.

Quantity to plot

Each bar is one actual calculated four-plane roof area. Horizontal values: specified vertical rise in m.

Specified vertical rise	Four-plane roof area	Change from baseline	Use this scenario
0.9 m	26.31805 m²	-3.681945 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 8.772685 m² Each triangular end plane 4.386342 m² Each hip edge 2.968164 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
1.0875 m	27.31854 m²	-2.681462 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 9.106179 m² Each triangular end plane 4.55309 m² Each hip edge 3.03029 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
1.275 m	28.46208 m²	-1.53792 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 9.48736 m² Each triangular end plane 4.74368 m² Each hip edge 3.102519 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
1.4625 m	29.73218 m²	-0.2678205 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 9.910727 m² Each triangular end plane 4.955363 m² Each hip edge 3.184165 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
1.65 m	31.11334 m²	1.113341 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 10.37111 m² Each triangular end plane 5.185557 m² Each hip edge 3.274523 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
1.8375 m	32.59145 m²	2.591448 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 10.86382 m² Each triangular end plane 5.431908 m² Each hip edge 3.372893 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
2.025 m	34.15392 m²	4.153916 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 11.38464 m² Each triangular end plane 5.692319 m² Each hip edge 3.478595 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
2.2125 m	35.7897 m²	5.789698 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 11.9299 m² Each triangular end plane 5.96495 m² Each hip edge 3.590983 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.
2.4 m	37.4892 m²	7.489198 m²	Open in calculator Exact quantity breakdown Ridge length 2 m Each trapezoidal side plane 12.4964 m² Each triangular end plane 6.2482 m² Each hip edge 3.709447 m Geometry of a symmetric equal-pitch hip roof over the supplied plan, which must already include the intended eave projection. No slope, load, structure or drainage requirement is selected.

Read the evaluated results

Read calculated demand, whole purchases and exact detail lines separately. This specific input may change quantity continuously, cross a purchase step or make the stated geometry or stock fit invalid.

Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
Enter a comparison range on the focused input's stated unit and quantity basis.
Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

Compare measurements or already specified alternatives. Quantity sensitivity does not establish material suitability or construction requirements.

Equal pitches imply a ridge equal to plan length minus plan width. Unequal pitches, offset ridges, dormers and penetrations require separately measured planes.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Equal-Pitch Hip Roof Geometry Calculator

Other independent input decisions

Read the measurement and purchase guides

Keep a hip roof’s plan dimensions separate from sloped plane dimensions

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.