Posted by **A.J** on Tuesday, April 8, 2014 at 9:03pm.

what happens to the surface area of a rectangular prism when each of the dimensions is doubled? 1. it doubles 2. it quadruples 3. it is six times greater 4. it is halved

- Math - I don't know -
**Ms. Sue**, Tuesday, April 8, 2014 at 9:20pm
Sorry.

- Math (Please Help Ms. Sue) -
**Reiny**, Tuesday, April 8, 2014 at 9:27pm
The surface area of two similar solids is proportional to the square of their corresponding sides,

so the square of the "doubling" is 2^2 or 4

So the surface area is quadrupled

or

let the original dimensions be l , w, and h

surface area = 2lw + 2lh + 2 wh

= 2(lw + lh + wh)

new dimensions : 2l , 2w and 2h

new surface area

= 2((2l)(2w) + (2l)(2h) + 2(2w)(2h)

= 8( lw + lh + wh)

and 8( lw + lh + wh) is 4 times as large as 2(lw + lh + wh)

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