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Question

Volume of a cuboid is 7x2-56x+105 cubic units, then the possible dimensions of the cuboid are________,________ and _______ given that x>5.


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Solution

Finding dimension of cuboid:

To find the dimension of cuboid we factorize the polynomial.

Volume of cuboid is given to be 7x2-56x+105.

7x2-56x+105=7x2-8x+15

=7x2-3x-5x+15=7xx-3-5x-3=7x-3x-5

Hence, for volume of a cuboid is 7x2-56x+105 cubic units, then the possible dimensions of the cuboid are the dimension of cuboid are 7,x-3andx-5 given that x>5.


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