Question

a piece of solid aluminum is in the shape of a cube. if the temperature of the cube is increased so that the length of each side increases by a factor of 0.001 (that is, by 0.10%), by what factor does the volume of the cube increase?

Answer 1

The factor by which the volume of cube increased is 0.0030

What is a cube ?

A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

The fundamental distinction between a cube and a square is that the former has three dimensions—length, breadth, and height—while the latter only has two. A cube is composed of squares, which are a type of 2-dimensional (2D) shape (such as a circle, square, triangle, etc.).

let l be the side of a cube

the new length of cube is l' = 1.001l

Initial volume (v1) = l³

final volume (v2) = (1.001)³l³

The factor by which the volume increased is  = v1 / v2

                                                                           = ((1.001)³l³ - l³)/l³

                                                                           = 0.003003

                                                                           = 3 x 0.001

                                                                           ≅ 0.0030

To learn more about a cube from the given link  

https://brainly.com/question/1972490

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