# SOLUTION: The surface area of a cuboid is 102cm square. Height is 3cm, width is 4.5cm. What is the length marked x?

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Surface-area Question 168282: The surface area of a cuboid is 102cm square. Height is 3cm, width is 4.5cm. What is the length marked x?Answer by ankor@dixie-net.com(15747)   (Show Source): You can put this solution on YOUR website!The surface area of a cuboid is 102cm square. Height is 3cm, width is 4.5cm. What is the length marked x? : The surface area of a rectangle which is what a cuboid is: 2LW + 2Lh + 2Wh = S.A. : Substitute x for L; 3 for h; 4.5 for W, 102 for SA: 2(4.5x) + 2(3x) + 2(4.5*3) = 102 : 9x + 6x + 27 = 102 : 15x = 102 - 27 : 15x = 75 x = x = 5 cm is the length : : Check in the S.A. equation 2(4.5*5) + 2(3*5) + 2(4.5*3) = 2(22.5) + 2(15) 2(13.5) = 45 + 30 + 27 = 102