The other dimension of rectangular prism is 12 m, if the surface area of a rectangular prism is 592 squared meters and two of the dimensions are 8 m and 10 m.
Step-by-step explanation:
The given is,
The surface area of a rectangular prism is 592 squared meters
Two of the dimensions are 8 m and 10 m
Step:1
Formula for surface area of rectangular prism is,
[tex]Surface area, A = 2(wl+hl+hw)[/tex].....................(1)
From given values,
Let, w = 8 m
l = 10 m
Equation (1) becomes,
[tex]592=2[ (8)(10)+10h+8h)][/tex]
[tex]592 = 2(80+10h+8h)[/tex]
[tex]592=(160+20h+16h)[/tex]
[tex]592-160 = 36h[/tex]
[tex]432= 36h[/tex]
[tex]h = \frac{432}{36}[/tex]
h = 12 m
Other side of the rectangular prism = 12 m
Result:
The other dimension of rectangular prism is 12 m, if the surface area of a rectangular prism is 592 squared meters and two of the dimensions are 8 m and 10 m.
