Peak AppsTools

How to measure a tapered tumbler for a template

A tapered wrap needs three numbers: the top diameter, the bottom diameter and the height between them, all taken where your design starts and ends. Here is where to put the tape, and how to check the result before you print a batch.

Side view of a tapered tumbler with D1, D2, h and s marked, next to its unrolled template with R, r and the angle marked D1 top D2 bottom h straight up s along side measure where the print starts and ends unroll tip of the cone θ R r top edge = π × D1 bottom edge = π × D2 s
Left: the three measurements, taken on the lines where the design starts and ends. Right: the same cup unrolled flat. The generator works out R, r and θ from them. Drawing not to scale.

Step by step

  1. Mark where the wrap starts and ends. Most tumblers have a lip or lid seat at the top and a curve or ridge at the base that a wrap can’t lie flat on. Put a strip of masking tape on each line so every measurement uses the same two lines.
  2. Measure the top. Calipers across the outside give the diameter directly. No calipers? Wrap a flexible tape, or a strip of paper you mark and then lay flat on a ruler, around the cup on the top line. That is the circumference: enter it and choose Circumference. The tool divides it by π for you.
  3. Measure the bottom on the lower line the same way. On a tapered cup this number is smaller than the top.
  4. Measure the height between the two lines. Stand the cup on a table and measure straight up, keeping the ruler vertical. If it is easier to lay a tape along the sloping side, use that length and choose Along side.
  5. Make a paper test. Enter the numbers, download the PDF, print it at 100% (“Actual size”) and check the scale square. Cut the template out and wrap it around the cup before you print on transfer paper or vinyl.

Getting it right

Reading the paper test

What you seeWhat it usually means
Ends overlap or leave a gap evenly from top to bottomBoth diameters are off by about the same amount. Re-measure the circumferences.
Ends meet at the top but gap or overlap at the bottomThe bottom diameter is off. A gap means it was measured too small, an overlap too big.
The top edge climbs or drops as it goes roundThe curve is wrong: check the height and whether it was measured straight up or along the side.
The template is too tall or too shortThe two lines you measured between are not the ones you wrapped to. Re-mark them with tape.