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4 March, 06:51

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?

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  1. 4 March, 06:56
    0
    dа ta:

    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
  2. 4 March, 07:00
    0
    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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