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Q: Why does a hollow cube float?
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Will a perfect cube sink or float?

it depends what the cube is made out of it depends what the cube is made out of


If you have a cube and a sphere that weigh the same but only the cube will float what does that tell you about the volume?

The cube has a larger volume.


Would a solid cube with 6-cm sides and a mass of 270 g float explain?

H


A 10cmx3 cube is cut in2 1cmx3 cubes are glued together to form the largest possible cube which looks solid from any point on the outside but is hollow inside What is the no of smaller cubes left over?

The equation for the number of 1 cm3 cubes to form a n3 cm3 hollow cube (n>1): 6n2-12n+8 (hint: cubes have 6 faces, 12 edges, and 8 vertices) I'm not sure whether you are asking about a 10 cm3 cube or a 103 cm3 cube. Since you can't divide a 10 cm3 cube into 1 cm3 pieces, I am going to assume you mean a 103 cm3 cube. This cube will yield 1000 1 cm3 cubes. For n=13, 6n2-12n+8 = 866 For n=14, 6n2-12n+8 = 1016 So, with 1000 little cubes, you can form a 13x13x13 cm hollow cube with 134 little cubes left out.


Is a cube a solid?

depends. what is the cube made of? an ice cube is solid. a hollow plastic cube is solid, but if you have a 5 sided box that is basically a cube without a top, and fill it with water, you have a water, filling the volume of the box, in a cubed shape. can you be more specific? ===================== A cube could be solid but, as the old song goes, it ain't necessarily so. A cube is just a three dimensional figure. It could exist entirely within your mind. Think of cubes as being lengths, widths, heights, angles, volumes, etc.