A4ft thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 42ft3. use the aleks graphing calculator to find the side length of the original cube. round your answer to two decimal places.

The side length of the original cube is 5.43 ft

Step-by-step explanation:

Let x be the edge ( in feet ) of the cube,

∵ Volume of a cube = side³,

Thus, the volume of the given cube,

Now, 4ft thick slice is cut off the top of a cube,

The volume of the slice = x × x × 4 = 4x² ft²,

Thus, the volume of the resulting figure = volume of cube - volume of cut figure

= ( x³ - 4x² ) ft²

According to the question,

The solution of the above equation will be obtained by finding the zeros of the function ( by graphing ),

We found that,

The graph of the equation intersect x at (5.426,0)

Thus, the zero of the equation is 5.426

⇒ x = 5.426 ≈ 5.43

Hence, the side length of the original cube is 5.43 ft ( approx )

lo.lll

step-by-step explanation:

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