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What is the surface area of a cuboid whose height is greater than its width by 1.65 cm and has a length of 24.75 cm with a volume of 808.5825 cubic cm detailing work in a logical order?
Wiki User
∙ 10y ago
1 Let the height and width be (x+1.65) and x respectively
2 So: (x+1.65)*x*24.75 = 808.5825
3 Divide both sides by 24.75 and multiply out the brackets
4 x2+1.65x = 32.67 => x2+1.65x-32.67 = 0
5 Using the quadratic equation formula gives x a positive value of 4.95
6 Therefore: height = 4.95+1.65 = 6.6 cm and width = 4.95 cm
7 Surface area: 2(4.95*6.6)+2(4.95*24.75)+2(6.6*24.75) = 637.065 cm2
8 Check: 4.95*6.6*24.75 = 808.5825 cubic cm
Wiki User
∙ 10y ago
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