The function v(x)=x3-6x2-8x+12 finds the volume of an object with a height of x feet. What is the volume of an object with a height of 5 feet? What is the volume of an object with a height of 12 feet?

Step-by-step explanation:

Given the function that models the volume of an object as;

v(x)=x^3-6x^2-8x+12

x is the height

Given

x = 5 feet

v(5) = 5^3-6(5)^2-8(5)+12

v(5) = 125 - 150 - 40 +12

v(5) = -65 + 12

v(5) = -53

Hence the volume of the object when height is 5 feet is -53ft³

If x = 12 feet

v(12) = 12^3-6(12)^2-8(12)+12

v(12) = 1728 -  864 - 96 +12

v(12) =778ft³

Hence the volume of the object when height is 12feet is 778ft³