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

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

5.252 inch

Step-by-step 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