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Mathematics 19 Online
OpenStudy (anonymous):

The edges of a rectangular solid have lengths 2x, 3x, and 5x. What is the total surface area of the solid?

OpenStudy (anonymous):

I am confused by whether to use the formula or not, and also the question didn't specify the lengths are for width or height? How can I solve this?

OpenStudy (anonymous):

2*2x*3x+2*3x*5x+2*5x*2x

OpenStudy (anonymous):

your surface area will just be in terms of x

OpenStudy (anonymous):

well, x^2

OpenStudy (anonymous):

so 12x^2+30x^2+20x^2 62x^2 is your total surface area

OpenStudy (anonymous):

ryan, you dont square the lengths, there are no faces with the same length on both dimensions

OpenStudy (anonymous):

we are finding surface area. yea, the lengths are squared.

OpenStudy (anonymous):

\[S=2(lh)+2(lw)+2(hw)\] \[S=2(2x)(3x)+2(2x)(5x)+2(3x)(5x)\] \[S=12x^2+20x^2+30x^2\] \[s=62x^2\]

OpenStudy (anonymous):

the lengths are not squared, the general form of surface area of a rectangular solid is 2*L*W+2*L*D+2*W*D since L, W and D are all different, THERE ARE NO SQUARED TERMS

OpenStudy (anonymous):

thank you abstracted

OpenStudy (anonymous):

Thanks Abstracted and Jmay! I get it now :D

OpenStudy (anonymous):

Also thanks Ryan for your enthusiasm in answering my question! :)

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