Describe 1,2,3 dimensional aspects of some part of a cardboard box. What customary and metric units would be appropriate to measure them? why might someone need to know these aspects?

Answer 1

Abbie G:

By definition, a “box” is a 3D shape having length, width, and depth as Denise has accurately described.

Additionally by definition, a “plane” is a 2D flat surface extending outward in two directions, having only length and width, but no depth.

A third definition, a “line, line segment, or ray” is a 1D element having length only, but no width nor depth.

Our fourth definition, a “point,” locates a single place in space.  It has neither length, width, nor depth.  Therefore it has zero dimensions (ØD).

Can you identify and locate the additional elements named above on the 3D box shape?  They are as follows:

1. Plane - any one of the 6 flat sides, or faces of the box bounded by four line segments.
2. Line segment - any one of the 12 edges of the box where the two planes intersect and is between two corners, or endpoints.
3. Point - any one of the 8 corners of the box where three line segments intersect.

As Denise has stated, we can measure the box using metric units (centimeters or meters).  We can, as well, measure the box using customary units (inches or feet) for determining how much the box can hold (volume), how much paper is needed to wrap the box (surface area), weighing the box and its contents, etc.

Answer 2

I would say the most common dimensions of a box would be Length, Width and Height. With these, you can figure out if the box will fit within a certain amount of space. You can figure out how much the box will hold. You can also figure out if you are shipping it, what the cost would be. For the units, it would be between cm and meters depending on your size.