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 = 72, l = 3, w = 6 h = \square

Explanation:

Step1: Substitute given values

Substitute $S=72$, $L=3$, $W=6$ into $S=2LW+2WH+2LH$:
$72 = 2(3)(6) + 2(6)H + 2(3)H$

Step2: Calculate known terms

Compute the constant term:
$72 = 36 + 12H + 6H$

Step3: Combine like terms

Combine the $H$ terms:
$72 = 36 + 18H$

Step4: Isolate the $H$ term

Subtract 36 from both sides:
$72 - 36 = 18H$
$36 = 18H$

Step5: Solve for $H$

Divide both sides by 18:
$H = \frac{36}{18} = 1$

Answer:

$H=1$