Quiz – $3D, 4D,$ and Beyond in Real Life

In this quiz, we test our understanding of $3D, 4D,$ and higher dimensions in real life.

Try to answer the questions before checking the answers at the bottom of the page.

Instructions

Remember:

$$\text{Number of dimensions } = \text{number of independent inputs}$$

For example:

\begin{align}3D &\longrightarrow (x, y, z)\\
4D &\longrightarrow (x, y, z, \text{time})\\
5D &\longrightarrow (x, y, z, \text{temperature, time})\end{align}

Questions

Question 1

What does $3D$ usually mean?

A) One input
B) Two inputs
C) Three inputs
D) Four inputs

Question 2

Which point is written in $3D$?

A) $5$
B) $(2, 3)$
C) $(2, 3, 4)$
D) $(2, 3, 4, 7)$

Question 3

What can we add to $3D$ space to make it $4D$?

A) Time
B) A line only
C) A triangle
D) A square

Question 4

Which point is written in $4D$?

A) $(2, 3)$
B) $(2, 3, 4)$
C) $(2, 3, 4, 7)$
D) $(2, 3, 4, 25, 7)$

Question 5

If a point is written as:

$(x, y, z, \text{temperature}, \text{time})$

how many dimensions does it have?

A) $3D$
B) $4D$
C) $5D$
D) $6D$

Question 6

Which idea is correct in mathematics?

A) A dimension is always a physical direction only.
B) The number of dimensions equals the number of independent inputs.
C) $4D$ is impossible to describe using numbers.
D) $5D$ means five shapes.

Question 7

A point on a $2D$ map is written as:

$(2, 3)$

What does this mean?

A) It has two inputs.
B) It has three inputs.
C) It has four inputs.
D) It has six inputs.

Question 8

A point is written as:

$(2, 3, 4, 25, 15, 7)$

How many dimensions does it have?

A) $3D$
B) $4D$
C) $5D$
D) $6D$

Question 9

Which of these can be added as an extra dimension?

A) Temperature
B) Wind speed
C) Time
D) All of the above

Question 10

Which summary is correct?

A) $3D$ uses two inputs, and $4D$ uses three inputs.
B) Higher dimensions happen when we remove information.
C) Each extra independent input adds a new dimension.
D) $6D$ always means six physical directions.

Answer Key

C) Three inputs
C) $(2, 3, 4)$
A) Time
C) $(2, 3, 4, 7)$
C) $5D$
B) The number of dimensions equals the number of independent inputs.
A) It has two inputs.
D) $6D$
D) All of the above
C) Each extra independent input adds a new dimension.

Mulkek

Quiz – \(3D, 4D,\) and Beyond in Real Life