SOLUTION: (A closed box has a surface area of 126 in. (squared). The base of the box is 5 in. by 3 in. what is the height of the box?) Please show me the work you did to solve it so I can us
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Question 823846: (A closed box has a surface area of 126 in. (squared). The base of the box is 5 in. by 3 in. what is the height of the box?) Please show me the work you did to solve it so I can use it as a future reference, thanks.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Surface area of a box (ie a rectangular prism)
SA = 2*(LW + LH + WH)
126 = 2*(5*3 + 5*H + 3*H)
126 = 2*(15 + 5H + 3H)
126 = 2*15 + 2*5H + 2*3H
126 = 30 + 10H + 6H
126-30 = 10H + 6H
96 = 16H
16H = 96
H = 96/16
H = 6
The height is 6 inches
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(A closed box has a surface area of 126 in. (squared).
The base of the box is 5 in. by 3 in. what is the height of the box?)
-------
Area of six faces::
2 sides = 2*5*h
2 ends = 2*3*h
top and bottom: 2*3*5
======
Equation:
2*5h + 2*3h + 2*15 = 126 in^2
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10h + 6h + 30 = 126
------
16h = 96
------
height = 6 in
=====================
Cheers,
Stan H.
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