+0

# If all the dimensions of a rectangular solid are increased by 2 times, what is the change in the volume of the shape?

0
274
3

If all the dimensions of a rectangular solid are increased by 2 times, what is the change in the volume of the shape?

Guest Dec 14, 2014

#2
+92206
+10

If the dimensions of a solid double    That is they (the lengths) are 2 times  greater

then the surface area will increase by a factor of 2^2=4   That is it will be 4 times  greater

and

the volume will increase by a factor of 2^3 =8.    That is it will be  8 times greater.

This is a really handy thing to know

Melody  Dec 14, 2014
Sort:

#1
0

what is 4*(10-3-2+4+1)*2 square-routed?

Guest Dec 14, 2014
#2
+92206
+10

If the dimensions of a solid double    That is they (the lengths) are 2 times  greater

then the surface area will increase by a factor of 2^2=4   That is it will be 4 times  greater

and

the volume will increase by a factor of 2^3 =8.    That is it will be  8 times greater.

This is a really handy thing to know

Melody  Dec 14, 2014
#3
+92206
+5

I am just thinking here.

If we increase something by a factor of 1 this is meaningless.  To a mathematician it means multiply by 1 so it stays the same and is not increased at all.

If you told a lay person in the street to increase the size of something by a factor of 1 they could either mistakenly add one unit to it or erroneously double the size. They could easily think that if it was 4 units long before and increase it by a factor of 1 that it must now be 8 units (what it was before plus one more of what it was before 1+1more) .  Of course this is really increasing by a factor of 2 (1*2) but I can see how it could be very confusing.

Melody  Dec 14, 2014

### 27 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details