# Unit when multiplied or squared

• K.Callaghan
In summary: If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?If a square measures 1 meter on a side, what is the area of the square? If a cube measures 1 meter on a side, what is its volume?If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?If a square measures 1 meter on a side, what is the area of the square? If a cube measures 1 meter on a side, what is its volume?
K.Callaghan

## Homework Statement

Consider the following hypothetical question:

(5 lbs•m^2) =a

If (a) and (b) are each multiplied by 2 what do the units become?

Similarly if (a) and (b) are squared what do the units become ?

K.Callaghan said:

## Homework Statement

Consider the following hypothetical question:

(5 lbs•m^2) =a

If (a) and (b) are each multiplied by 2 what do the units become?

Similarly if (a) and (b) are squared what do the units become ?
If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?

If a square measures 1 meter on a side, what is the area of the square? If a cube measures 1 meter on a side, what is its volume?

BTW, its not clear what kind of unit the lbs-m2 is. Is that supposed to be "pounds-mass" or "pounds-meter"?

Generally, it's not cool to use a mixture of units from different measurement systems.

SteamKing said:
If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?

If a square measures 1 meter on a side, what is the area of the square? If a cube measures 1 meter on a side, what is its volume?

BTW, its not clear what kind of unit the lbs-m2 is. Is that supposed to be "pounds-mass" or "pounds-meter"?

Generally, it's not cool to use a mixture of units from different measurement systems.

Thanks for your reply! I don't think I was specific enough here, My question worded differently would be ;

if Mass^2 = kg^2

What would (mass^2 multiplied by 2)
= in its units?

Do the units change or remain the same.
I know this is a very silly question!

K.Callaghan said:
Thanks for your reply! I don't think I was specific enough here, My question worded differently would be ;

if Mass^2 = kg^2

What would (mass^2 multiplied by 2)
= in its units?
Are you talking about squaring units of mass2, or are you talking about multiplication of units of mass2 by a constant value (for example, 2)?

Either way, the answer should be self-evident.

K.Callaghan
K.Callaghan said:

## Homework Statement

Consider the following hypothetical question:

(5 lbs•m^2) =a

If (a) and (b) are each multiplied by 2 what do the units become?

Similarly if (a) and (b) are squared what do the units become ?
Where is your attempt at solving this yourself?

## 1. What is the difference between multiplying and squaring a unit?

Multiplying a unit by itself results in a squared unit, which is the unit raised to the power of 2. This means that the unit is multiplied by itself two times. For example, if we have a unit of meters (m), multiplying it by itself would result in meters squared (m^2).

## 2. How do you convert a unit to its squared form?

To convert a unit to its squared form, you simply need to multiply the unit by itself. This means that the unit will be raised to the power of 2. For example, if we have a unit of seconds (s), its squared form would be seconds squared (s^2).

## 3. What is the purpose of using squared units?

Squared units are often used in mathematical equations and formulas to represent an area or volume. This is because when multiplying two units together, the resulting unit is in the squared form. For example, when calculating the area of a square, we multiply the length (m) by the width (m) to get meters squared (m^2).

## 4. Can units other than length be squared?

Yes, any unit can be squared. Squared units are not limited to just length, but can also represent other physical quantities such as area, volume, or even time. For example, if we have a unit of kilograms (kg), its squared form would be kilograms squared (kg^2), which can represent mass multiplied by itself.

## 5. How do you represent a unit that is cubed?

When a unit is raised to the power of 3, it is referred to as a cubed unit. This can be represented by adding a superscript 3 after the unit. For example, if we have a unit of meters (m), its cubed form would be meters cubed (m^3), which can represent volume.

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