Cuboid Dimensions Analysis: Comparing Height and Length in 3D Shapes

Question

Look at the cube below.

Can a cuboid have a height that is different to its length?

Video Solution

Solution Steps

00:00 Is there a box where the height is different from the length?
00:03 In a cube, all edges are equal
00:07 Therefore, in a cube, the height and length must be equal
00:12 Let's draw a box
00:23 In a box, not all edges are necessarily equal
00:27 Therefore, the height and length can also be different
00:30 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll clarify the definitions and properties of a cuboid:

  • A cuboid is a three-dimensional geometric figure with six rectangular faces, where opposite faces are equal and parallel. Importantly, a cuboid has dimensions that are specified as length, width, and height, and these values can be different from one another.
  • A cube is a special type of cuboid where all three dimensions (length, width, and height) are equal. This makes all faces of a cube identical squares.

Given these definitions, we analyze the problem:

Since a cuboid's dimensions can be different, it follows that the height of a cuboid can indeed be different from its length. This contrasts with a cube where all dimensions must be equal.

Hence, we conclude that it is possible for a cuboid to have a height that is different from its length.

Therefore, the answer to the question is Yes.

Answer

Yes.

More Questions

Related Subjects

Cubes

Question Types

Cubes: True / false