Question

In the following exercise a formula is given along with the values of all but one of the variables in the formula. Find the value of the variable that is not given S=2LW+2WH+2LH; S=108,L=3 W = 4

Answer 1

Question:

In the following exercise, a formula is given along with the values of all but one of the variables in the formula. Find the value of the variable that is not given

S=2LW+2WH+2LH;

S=108,

L=3

W = 4​

Solution:

Consider the following equation:

$S=2LW+2WH+2LH$

now, if we replace the given data, in the previous equation, we obtain:

$108=2(3)(4)+2(4)H+2(3)H$

this is equivalent to:

$108=24+8H+6H$

this is equivalent to:

$108-24=14H$

this is equivalent to:

$14H=84$

thus, solving for H, we get:

$H\text{ = }\frac{84}{14}=\text{ 6}$

Then, we can conclude that the value of the variable that is not given is:

$H\text{ = 6}$