Chapter 12.1, Problem 5WE

To determine

To complete: the table.

Answer to Problem 5WE

$l$	6	50	6	$9$	9	5 $x$
$w$	4	30	3	8	$6$	4 $x$
$h$	2	15	$3$	5	2	3 $x$
$\text{L}\text{.A}\text{.}$	40	$\text{2400}$	$\text{54}$	$\text{170}$	60	?
$\text{T}\text{.A}\text{.}$	88	$5400$	$108$	$314$	$168$	?
$V$	48	$22500$	54	360	$108$	?

Explanation of Solution

Given information:

$l$	6	50	6	?	9	5 $x$
$w$	4	30	3	8	?	4 $x$
$h$	2	15	?	5	2	3 $x$
$\text{L}\text{.A}\text{.}$	?	?	?	?	60	?
$\text{T}\text{.A}\text{.}$	?	?	?	?	?	?
$V$	?	?	54	360	?	?

Calculation: to complete the table,

  $l=9,h=2,L.A=60$

  $\begin{array}{l}\text{L}\text{.A}\text{.}=ph\\ 60=\left(9+w+9+w\right)\text{2 [substitute]}\\ w=6\text{ [simplify]}\end{array}$

  $\begin{array}{l}V=Bh\\ V=\left(54\right)\left(2\right)\text{ [substitute]}\\ V=108\text{ [simplify]}\end{array}$

  $\begin{array}{l}\text{T}\text{.A}\text{.=L}\text{.A}+2B\\ \text{T}\text{.A}\text{.}=60+2\left(54\right)\text{ [substitute]}\\ \text{T}\text{.A}\text{.}=168\text{ [simplify]}\end{array}$