Redraw the tapered cup band before reusing artwork

Retain the message while replacing the inherited drawing

A fictional tasting campaign introduces a new sample cup while retaining the campaign’s continuous color band. The band carries the product name and the qualification “Sample available at participating counters.” The designer opens the previous rectangular artwork and proposes adapting it without revisiting the outline. The campaign owner likes the familiar appearance, but the new cup is not the same shape as the old one. The task is to choose the appropriate drawing before composing the message.

Write down the two design goals separately. The color band should still feel like one continuous campaign element, and the product name should remain clearly connected to its qualification. Neither goal requires preserving the old file’s outline. This distinction gives the designer permission to rebuild the composition without treating every inherited proportion as a brand rule.

Keep an untouched copy of the old layout beside the new proposal. Label it as the previous-cup artwork rather than the master for every future package. The comparison should explain why the campaign elements remain useful while their earlier arrangement no longer defines the new deliverable.

Compare the complete outlines

Use an ideal right circular frustum: lower radius 2 cm, upper radius 3 cm, slant length 5 cm. Develop around the extended apex. Similar triangles give sector radii R = 3 × 5 / (3 − 2) = 15 cm and r = 15 − 5 = 10 cm. Angle θ = 2π × 3 / 15 = 2π / 5 radians = 72°. Outer and inner arcs are R × θ = 6π cm and r × θ = 4π cm. Area θ × (R² − r²) / 2 = 25π cm² equals π × (3 + 2) × 5. Compare a rectangle 6π cm wide and 5 cm high: both horizontal boundaries are 6π cm, exceeding the lower circumference by 2π cm. Select the annular-sector drawing. Thickness, seam allowance, stretching, adhesion and physical fit are unmodeled.

The supplied geometry was checked with exact rational coefficients and an independent area calculation. No artwork was warped, no cup was wrapped and no source illustration was reproduced. The arithmetic is fully supplied so another reader can reconstruct the comparison without assuming that an attractive mockup documents a manufactured sample.

The selected outline changes the space in which the designer must work. It does not supply finished typography or decide what the customer should read first. Put the approved product name and qualification back into the composition as one editorial panel. Keep the invitation’s actual scope visible while exploring a treatment that belongs to the revised drawing rather than imitating the old screenshot.

Recompose instead of disguising a changed promise

Begin with the reading sequence: identify the product, understand the sampling invitation and recognize where that invitation applies. Give the name the appropriate prominence, then place the qualification where it remains part of the same message. Do not solve a crowded draft by dropping participating counters or replacing it with an unexplained symbol. The campaign still needs that limitation even when the artwork becomes less convenient to arrange.

The continuous band is a separate visual commitment. A designer can adjust the rhythm of decorative elements while keeping the campaign color recognizable. The product panel should not be broken into disconnected fragments merely to preserve a repeated motif. If the approved identity system includes a specific repeat, distinguish that requirement from a decorative choice made only for the previous cup. The creative owner can then decide what is essential without mistaking inherited convenience for a brand standard.

Prepare two editorial treatments within the selected drawing: one gives the product panel a quiet uninterrupted area, while the other lets decoration continue behind it. Compare the readability and hierarchy of those treatments using the same approved words. This is a meaningful art-direction choice after the geometric decision, rather than another attempt to make the rejected outline seem acceptable.

Keep any image of the cup clearly identified as an illustration unless an actual specimen has been photographed. A convincing presentation can help the campaign team discuss the visual intention, but it should not imply that the production has already been tested. The learning exercise chooses a drawing and a content arrangement; it does not turn a rendered cup into evidence of a real package.

Make the replacement relationship clear

Deliver a comparison sheet containing the previous artwork, the selected outline and the recomposed panel. Include the unchanged product name and qualification in ordinary text beside the drawings. That makes it possible for a writer to check the message without reading through decorative effects, and for a designer to see which words must remain associated.

State that the new drawing replaces the earlier layout for this fictional cup, not that the entire campaign identity has been redesigned. This prevents a downstream producer from discarding useful approved elements or, conversely, reintroducing the previous outline because it looks more familiar.

If the campaign later removes the sampling invitation, the product panel will need a deliberate editorial revision. Do not leave a blank qualification area or invent a broader permanent promise to fill it. Likewise, a different cup should start from its own declared geometry rather than inherit this exercise automatically. Reuse belongs to the approved visual elements and meaning, not every incidental shape in a prior file.

The completed decision preserves the continuous band and the product-name/qualification relationship while choosing the new drawing. It rejects the shortcut of treating an old rectangular file as a universal template. The useful artifact lets the next producer understand what is retained, what is replaced and why, without confusing a mathematical comparison with a physical production result.

Make the reasoning concrete.

The campaign owner wants the recognizable band, product name and participating-counter qualification retained on the new cup.

Choose the second approach, retaining the message and continuous band while replacing the previous-cup layout.

Take the questions into your next brief.

Use these prompts in your own notes. Nothing is submitted from this page.

1. Retained identity

   Which campaign elements must remain recognizable?

2. Panel

   Which words need to stay associated with the product name?

3. Comparison

   Can you reconstruct both outlines from the supplied inputs?

4. Treatment

   Should the message sit in a quiet area or over continuing decoration?

5. Replacement

   Does the handoff distinguish the new cup’s layout from the prior deliverable?

Watch for the wrong conclusion.

• Treating an inherited outline as an unchangeable brand rule.
• Removing a necessary qualification to simplify the composition.
• Presenting an illustration as though it documented a manufactured sample.

Sources & scope

The cup dimensions and campaign are invented. Local arithmetic was executed; no physical fitting or artwork-warp test was performed.

• Frustum of a Cone →Primary instructional textbook · Supports: Development.
• 2.4 Arc Length of a Curve and Surface Area →Primary textbook section · Supports: Geometry.