# A cubical box consists of 4 square sides and a square base but has no top. The sides and the base are all made of thin sheet metal of uniform thickness. If the edges of the box are all 200 mm in length, how far above the base is the box’s centre of mass?

From the symmetry we see that the center of mass of the box is on a vertical line directly above the center of the base.

We also know that weight

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The center of mass of the cubical box is located one-third of the distance from the base to the top along the vertical axis. Therefore, the center of mass is 133.33 mm above the base of the box.

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The center of mass of a uniform density object is located at the geometric center. For a cubical box without a top, the center of mass is at the center of the cube. Since all edges of the cube are equal in length, the center of mass is equidistant from each face.

To find the distance from the base to the center of mass, we divide the length of one edge by 2. Therefore, for a cube with edges of 200 mm in length, the distance from the base to the center of mass is half of the edge length, which is 100 mm.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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