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

H = 6

Explanation:

We are given the values of S, L, and W, and so we put them into the formula to get

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

We simplify the above to get

`108=24+8H+6H`

Subtracting 24 from both sides gives

`108-24=24-24+8H+6H`
`84=8H+6H`

Adding the like terms on the right-hand sides gives

`84=14H`

Finally, dividing both sides by 14 gives

`(84)/(14)=(14H)/(14)`

which gives

`H=6`

which is our answer!