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The cross sectional area of the cuboid has an area of 81.648/6.3 = 12.96 cm.This is a square, and so its sides are of length 3.6 cm.

The axis of cylinder does not need to be aligned with the length of the cuboid. A cylinder with the largest diameter that will fit inside the cuboid is one whose cross section is along the diagonal of the above square and which has infinitesimally small length. This diameter is 3.6*sqrt(2) = 5.1 cm, approx.


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8y ago
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8y ago

Answer: 36 mm or 3.6 cm

Because: 81.648/6.3 = 12 .96 and its square root is 3.6 cm

Check: 3.6^2*6.3 = 81.648 cubic cm

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Q: What is the maximum diameter of a cylinder that will fit into a squared ended cuboid whose length is 63 mm and has a volume of 81.648 cubic cm showing all work?
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