a) The equation is therefore; x³ + 3x² + 2x = 336
b) Solving for the length, we get the length to be; x = 6.
c) All workings are as shown below;
According to the question;
- When the height of a rectangular prism was halved, the volume was 168 cubic cm.
In essence, the volume of the original prism is;
Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.
- Volume = x (x+1) (x+2) = 336
a) The equation is therefore;
- <em>x³ + 3x² + 2x = 336</em>
b) Solving for the length, x is as follows;
By testing values and checking;
- Upon solving the polynomial, x = 6.
c) All workings are as shown above.
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