SOLUTION: Please help me solve this question: A rectangular prism has a volume of 1716 cm^3. its three dimensions are consecutive whole numbers. What is its surface area?

Question 961667: Please help me solve this question: A rectangular prism has a volume of 1716 cm^3. its three dimensions are consecutive whole numbers. What is its surface area?
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
The three dimensions are consecutive whole numbers.
Let the dimensions be (x-1),x and (x+1) respectively.
(x-1)*x*(x+1)=1716
Finding the factors of 1716 we get,
1716=572*3=143*12=11*12*13
Substituting the same we get,
(x-1)*x*(x+1)=11*12*13
Comparing we get,
x=12
The dimensions of the prism are 11cm,12cm and 13cm.
Surface area of the prism=2(wl+lh+wh)=2(132+156+143)=862 square centimetres
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