Answer:
The height is 17 ft
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(LW +WH + LH)
where L = length, W = width, and H = height
We know SA = 930, L = 12, and W = 9
930 = 2(12*9 +9H + 12H)
Divide each side by 2
930/2 = 2/2(12*9 +9H + 12H)
465 = (12*9 +9H + 12H)
Combine like terms
465 = 84+21H
Subtract 84 from each side
465-84 = 84-84+21H
357 = 21H
Divide by 21
357/21=21H/21
17 = H
The height is 17 ft
Answer:
Height is 17 ft.
Step-by-step explanation:
Given: Rectangular Prism is also called cuboid
Length, L = 12 ft. and width, W = 9 ft.
Surface Area of cuboid, SA = 930 ft.²
To find: height , H
The surface area of a rectangular prism or cuboid
SA = 2(LW +WH + LH)
930 = 2(12×9 +9H + 12H)
[tex]\frac{930}{2}=108 +9H + 12H[/tex]
465 = 108 + 9H + 12H
108 + 9H + 12H = 465
21H + 108 = 465
21H = 465 - 108
21H = 357
[tex]H=\farc{357}{21}[/tex]
H = 17
therefore, Height is 17 ft.
