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A rectangular solid has dimensions of x cm by 6 cm by 4 cm. Find the length x of the box if the surface area is 248 square centimeters. (Hint: SA = 2lw + 2wh +2lh)

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Riza1viz
[tex] length : l = x \\ width : \ w=6 \ cm \\ height : h = 4 \ cm \\ surface\ area : SA= 248 \ cm^2 \\ \\ SA = 2xw + 2wh +2xh \\\\248= 2x\cdot 6 + 2 \cdot 6 \cdot 4 +2x \cdot 4 \\ \\248= 12x + 48 +8x \\ \\ 20x=248- 48\\\\20x=200 \ \ / :20 \\\\x=20 \ cm \\\\Answer : \ the \ box \ has \ a \ length \ of \ 20 cm [/tex]