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What are all the dimensions of a cuboid with a volume of 124.6 cubic cm when its height is 5 cm and its length is 2.23 cm greater than its width showing all aspects of your work for maximum marks?
Wiki User
∙ 13y ago
Let the length be (x+2.23) and the width be x:
height*length*width = volume
5*(x+2.23)*x = 124.6 cm3
Divide both sides by 5 and multiply out the brackets:
x2+2.23x = 24.92
Subtract 24.92 from both sides hence forming a quadratic equation:
x2+2.23x-24.92 = 0
Solving the above equation by means of the quadratic formula gives x a positive value of 4.
Therefore the dimensions are: height = 5 cm, length = 6.23 cm and width = 4 cm
Check: 5*6.23*4 = 124.6 cubic cm
Wiki User
∙ 13y ago
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