The coefficient of thermal expansion for volume is usually 3 times the coeficcient for expansion for length

To estimate the cube for a number between 1 and 1.1

Step 1

Subtract 1 from the number

Step 2

Multiply the quantity you calculated in step 1 by 3

Step 3

Add 1 to the number you calculated in step 2

Finished

@shortstories Funny how if three lengths increase by 1, the volume increases by 3

@Zergling_man

Only for numbers in the range that happens to be used for thermal expansion calculations for some materials near room temperature when the temperature change is small enough

I do not think it works for large numbers

The sine of theta in radians is also close to theta for angles smaller than a certain angle but not for angles larger than a certain angle

@shortstories That means you're looking at a coincidence, not a relationship.
Volume and length are actually related.

@Zergling_man

I would say that for small angles in radians the sine of theta being approximately equal to theta is because of a relationship

When an angle is small enough

Where the angle measures both a section of a circle and also is an angle within a triangle

When the largest side of a triangle is the same as the radius of the circle

the perimeter of a section of a circle having an angle of theta

is close to the length of a side in a right angle triangle having an angle of theta

@shortstories >I would say that for small angles in radians the sine of theta being approximately equal to theta is because of a relationship
Do you know what the sine function actually does?