Can anybody help me on this

Question

asked Nov 28, 2020 178k views

2 Answers

Gplayer · Answer 1 · 2020-12-02T14:36:30+0000

For this case we have that by definition, the area of a rectangular prism is given by:

$A_ {t} = A_ {l} + 2A_ {b}$

Where:

A_(l): Is the lateral area

$A_ {b}:$ It is the area of the base

$A_ {l} = P_ {b} * h$

Where:

$P_ {b}$ It is the perimeter of the base

h: It's the height

$P_ {b} = (2 + 3 + 2 + 3) \ feet\\P_ {b} = 10 \ feet\\A_ {l} = 10 * 12\\A_ {l} = 120 \ feet ^ 2$

On the other hand:

$A_ {b} = 2 * 3\\A_ {b} = 6 \ feet ^ 2$

Finally:

$A_ {t} = 120 \ feet ^ 2 + 2 * 6 \ feet ^ 2\\A_ {t} = 132 \ feet ^ 2$

ANswer:
$A_ {t} = 132 \ feet ^ 2$