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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. if the surface area of a rectangle prism is 324m2, with length 5 m and width 12 m what is the height in meters?

Respuesta :

Data:
surface area=324 m²
lenght=5 m
width=12 m

SA=2(Iw+Ih+wh)
324 m²=2(5 m*12 m + 5 m h+12 m h)
324 m²=2(60 m²+17 m h)
60 m²+17 mh=324 m²/2
60 m²+17 mh=162 m²
17 mh=162 m²-60 m²
17 mh=102 m²
h=102 m²/17 m
h=6 m

Answer: the height is 6 m
From the Provided Information
Area =324m²
Length =5m
Width=12m
Putting all values in the given formula:
Surface Area =2(Iw+Ih+wh)

324 m²=2(5 mx12 m + 5 m h+12 m h)
324 m²=2(60 m²+17 m h)
60 m²+17 mh=324 m²/2
60 m²+17 mh=162 m²
17 mh=162 m²-60 m²
17 mh=102 m²
h=102 m²/17 m
h=6 m

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