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lina2011 [118]
3 years ago
12

If the width and height of a rectangular prism are each shrunk to one seventh of the original size but the length remains the sa

me, what is the formula to find the modified surface area?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
Hey there,

Let's say    'L'=length,  'W'=width, and  'H'=height.

<span>The surface area of a rectangular prism is  </span>

                         A  =  (2LW) + (2WH) + (2LH)  =  2 (LW + WH + LH)

<span>If you shrink the width and height, then the new width is  W/7 </span>
and the new height is H/7.

The new surface area is

                         A = (2 L W/7) + (2 W/7 H/7) + (2 L H/7) .

<span>That's               </span>A = 2 (LW/7 + WH/49 + LH/7)<span> .</span>

<span>or you could write it as      </span><span>A = 2/7 (LW + WH/7 + LH)

</span><span>There are many more ways to massage the formula and write it </span>
<span>in different ways, but I think writing it just that way is OK.</span>
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