Identify the Rectangular Faces of a 3×5×6 Cuboid: Geometric Analysis

Question

A cuboid has the dimensions shown in the diagram below.

Which rectangles form the cuboid?

00:00 Which rectangles make up the box?

00:03 We identify one rectangle that is 3 by 5

00:09 Each rectangle appears twice in the box (2 faces)

00:17 We identify another rectangle that is 3 by 6

00:30 And a rectangle of 5 by 6

00:37 And this is the solution to the question

Every cuboid is made up of rectangles. These rectangles are the faces of the cuboid.

As we know that in a rectangle the parallel faces are equal to each other, we can conclude that for each face found there will be two rectangles.

Let's first look at the face painted orange,

It has width and height, 5 and 3, so we already know that they are two rectangles of size 5x6

Now let's look at the side faces, they also have a height of 3, but their width is 6,

And then we understand that there are two more rectangles of 3x6

Now let's look at the top and bottom faces, we see that their dimensions are 5 and 6,

Therefore, there are two more rectangles that are size 5x6

That is, there are
2 rectangles 5X6

2 rectangles 3X5

2 rectangles 6X3

Two 5X6 rectangles

Two 3X5 rectangles

Two 6X3 rectangles