The volume of a rectangular prism is 200. If one dimension is doubled, a second dimension is reduced by a factor of 2/3 , and the third dimension is increased to six times its original length.

Question

what would the new surface area be?

I'm pretty sure i'm wrong but the answer I got was 1600 unit cubed

If someone could please help me understand this that would be amazing :)

Answer 1

L* W * H=200

2L* 6W * 2/3H =?

2*6*(2/3) = 8

8(L*W*H)=?

Substitute in the 200 for L*W*H

8*200= 1600

The new volume is 1600 units cubed

However you need surface area

A=2(wl+hl+hw)

L=5 W=5 H=8 would give us a volume of 200 units cubed originally and 1600 units cubed after the changes

If you typed the questions incorrectly and meant 200 units of surface area then the detentions could be

2*6*11

A=2(wl+hl+hw) =

2(2*6+2*11+6*11) = 200

Then you simply need to apply the changes to make it

Double 11

2/3 of 6

Increased 6 times for 2

then new shape is now 22*4*12

A=2(wl+hl+hw) = 800 units squared