Mensuration (Cuboid) Help please.
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Mensuration (Cuboid) Help please.

[From: ] [author: ] [Date: 13-08-11] [Hit: ]
in cm^2 to 3 significant figures, of the remaining solid.The sixth surface has a flat part with a dent in the middle.The area of the flat part is 4^2 - pi(1.= 8.The surface area of the dent is 2pi(1.......
A solid cube has sides of length 4 cm. A hemisphere of radius 1.5 cm is removed from the cube. Calculate the total surface area, in cm^2 to 3 significant figures, of the remaining solid.

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Five sides of the cube are unaffected; their surface

area is 5 x 4^2 = 80cm^2

The sixth surface has a flat part with a "dent" in the middle.

The area of the flat part is 4^2 - pi(1.5)^2

= 8.93142

The surface area of the "dent" is 2pi(1.5)^2 (half the area of a sphere)

= 14.13717

So the total surface area is

80 + 8.93142 + 14.13717 = 103.069cm^2
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