Eight balls are in a box 18 inches long ,9 inches wide ,and 4.5 inches deep. if each ball has a diameter of 4.5 inches what is the volume of the space around the balls

The volume of the space around the balls is:

Step-by-step explanation:

To calculate the result you must:

To calculate the volume of a box you must apply the following formula:

Therefore you must replace with the provided values:

Now the formula to calculate the volume of a sphere is:

Remember that r (radius) is half the diameter, therefore the radius in this case is 2.25 inches, knowing this is replaced:

But since there are 8 spheres, the value obtained must be multiplied by 8:

And we proceed to subtract the volume of the balls from the volume of the box:

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11