If I want to make a round wooden box with a total outer height of 40 mm, and the wood thickness is 2.5 mm, the top and bottom bases also use 2.5 mm wood (each), leaving an inner height of 35 mm. For a box with a 30 mm inner diameter, what should be the length of the wooden strip (35 mm tall) needed to bend into a circle and form the cylindrical wall?
Question: If I want to make a round wooden box with a total outer height of 40 mm, and the wood thickness is 2.5 mm, the top and bottom bases also use 2.5 mm wood (each), leaving an inner height of 35 mm. For a box with a 30 mm inner diameter, what should be the length of the wooden strip (35 mm tall) needed to bend into a circle and form the cylindrical wall?
Solution:
Step 1: Inner height = total height − top base − bottom base
Inner height = 40 − 2.5 − 2.5 = 35 mm (this is the strip height).
Step 2: Circumference (required length) = π × inner diameter
Circumference = π × 30 ≈ 94.248 mm.
Step 3: Add overlap for glue (typical 5 mm).
Final cut length = 94.248 + 5 = 99.25 mm.
Final recommended cut: 35 mm (height) × 99.25 mm (length). You can round the length to 100 mm for safety and trim while gluing.
Inner height = 40 − 2.5 − 2.5 = 35 mm (this is the strip height).
Step 2: Circumference (required length) = π × inner diameter
Circumference = π × 30 ≈ 94.248 mm.
Step 3: Add overlap for glue (typical 5 mm).
Final cut length = 94.248 + 5 = 99.25 mm.
Final recommended cut: 35 mm (height) × 99.25 mm (length). You can round the length to 100 mm for safety and trim while gluing.
Equation/Formula:
cutLength = (Math.PI × innerDiameter) + overlap
innerHeight = totalHeight − topBaseThickness − bottomBaseThickness
innerHeight = totalHeight − topBaseThickness − bottomBaseThickness
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