The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body types, their weights would vary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 175 pounds, approximately how much would a man with a height of 9 feet left parenthesis 108 inches right parenthesis weigh?
2 answers
175 * (108/70)^3 = ?
We'll use W to represent weight, k to represent the constant and H to represent hight.
W=kH^3 (weight =constant x H cubed)
to find our constant we will use W175 and H70 from the question above
175=k70^3
now to separate k from 70 cubed we divide both side of the equation by 70^3. This gives us our k value.
175/70^=k
k=.000510204
then we use the constant we found to solve for the weight of the man whos hight is 108"
W=.000510204x108^3
W=.000510204x1259712
W=643lb
W=kH^3 (weight =constant x H cubed)
to find our constant we will use W175 and H70 from the question above
175=k70^3
now to separate k from 70 cubed we divide both side of the equation by 70^3. This gives us our k value.
175/70^=k
k=.000510204
then we use the constant we found to solve for the weight of the man whos hight is 108"
W=.000510204x108^3
W=.000510204x1259712
W=643lb
7 answers