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?

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

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