Complete question :
One of the dimension of a cube in increased by 2 inch to form a rectangular ... Block. Suppose that the volume of the cube 200 cubic inch. Find the length of an edge of the original cube
Answer:
5.252 inch
Explanation:
Let the measure of the edge = x
Volume of a cube = x³ (original volume)
If one of the edges is increased by 2 inches ;
x * x * (x + 2) = 200
x² + (x + 2) = 200
x³ + 2x² = 200
We find a rational root or we use guess and trial method to arrive at a quick answer :
Here, we could guess that that x is just marginally above 5
.using the value 5.252 as x
5.252^3 + 2(5.252^2) = 200.035
Hence, we can conclude that the edge of the original cube is 5.252