The surface area of a rectangular prism is found using the formula SA = 2(lw + lh + wh), where l is length, w is width, and h is height. What is the surface area (in square meters) of a rectangular prism with length 5 m, width 12 m, and height 6 m?
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You first have to plug everything in....324 m^2 is the SA so 324 m^2 = 2[(5m*12m) + (5m*h) + (12m*h)]
You want to find h so you can first start by dividing 342 by 2 which will make your equation simpler to solve. So you should have 162 m^2 = (5m*12m) + (5m*h) + (12m*h)
Multiply your "lw" together 5m*12m=60m^2 and you have 162 m^2=60 m^2 + (5m*h) + (12m*h)
You can subtract 162 m^2 by 60 m^2 leaving 102 m^2 = (5m*h) + (12m*h)
Then combine your like terms of h....5m*h + 12m*h = 17m*h so you now have
102m^2 = 17m*h and to get h by itself to solve for it you can then divide by 17 leaving 6m=h making your height equal 6 meters. I left the meters in the equation the whole time so you could see how they cancel each other out making m^2 go back to just m.
I took this step by step so you could understand it all, sorry it is long but I hope this helps you.
i dont understand that
you are given:
l=5, w=12, h=6
formula: SA = 2(lw + lh + wh)
plug all the given values in the formula..|dw:1377730179603:dw|