Thursday

May 26, 2016
Posted by **crystal** on Thursday, January 13, 2011 at 10:57pm.

- Geometry -
**helper**, Thursday, January 13, 2011 at 11:51pmI'll do volume to show you

V = L*w*h

1st example, L = 2, w = 3, h = 4

V = 2*3*4

V = 24

Quadruple each dimension,

L = 2*4 = 8, w = 3*4 = 12, h = 4*4 = 16

V = 8*12*16

V = 1536

So, the volume went from 24 to 1536

1536/24 = 64 so 24*64 = 1536

So, if you quadruple the dimensions, the volume is increased 64 times

Follow this for the Area

here is the formula

TA = 2Lw + 2Lh + 2wh - Geometry -
**crystal**, Friday, January 14, 2011 at 12:01amwhich one is length width height

- Geometry -
**helper**, Friday, January 14, 2011 at 12:38amI don't understand what you are asking

use this formula

TA = 2Lw + 2Lh + 2wh

use these dimensions

1st use, L = 2, w = 3, h = 4

then quadruple the dimensions to compare how the area changed

2nd use L = 8, w = 12, h = 16 (I quadrupled the dimensions for you)

you can use any dimensions you want, I just gave you dimensions for example - Geometry -
**Reiny**, Friday, January 14, 2011 at 12:43amoriginal:

length = L

width = W

height = H

V = LWH

SA = 2(LW + LH + WH)

new one:

length = 4L

width = 4W

height = 4H

volume = (4L)(4W)(4H)

= 64 LWH

so the volume is 64 times as large, helper had that also.

SA = 2(16LW + 16LH + 16WH)

= 32(LW + LH + WH)

so the surface area is 32 times as large. - Geometry -
**helper**, Friday, January 14, 2011 at 1:12amI can't believe I didn't think to do it your way!!!

so much easier to do AND understand

that's why you are the tutor

thank you

I've learned so much from your posts! I wish I had you to ask questions when I was taking math.