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Surface area of a cylinder joined to a cuboid

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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A vertical cylinder is attached on top of a cuboid. There is no overlap of volume

The cuboid has length L = 12 cm, depth W = 6 cm and height H = 3 cm

The cylinder has radius r = 1 cm and height h = 5 cm

Its whole circular base touches the cuboid top. Both copies of this contact circle are internal. The cylinder top is exposed

Coat every exposed surface, including the cuboid underside

Perspective view of a vertical cylinder attached to a cuboid. L, W and H label the cuboid length, depth and height. The cylinder has height h and diameter 2r, shown by the capped dimension above its circular top.LWHh2r
Not to scale. The whole cylinder base touches the cuboid top
1 mark

What area of coating is required? Give the area in cm² to 2 decimal places