Question

5 find the surface area of the tank 18\ 8\ a 64 in² b 146 in² c 736 in² d 1280 in²

Explanation:

Step1: Recall surface - area formula for rectangular prism

The surface - area formula of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 16$ in, $w = 8$ in, and $h = 10$ in.

Step2: Calculate $lw$

$lw=16\times8 = 128$ in².

Step3: Calculate $lh$

$lh = 16\times10=160$ in².

Step4: Calculate $wh$

$wh = 8\times10 = 80$ in².

Step5: Substitute into the formula

$SA=2(128 + 160+80)$.
First, add the values inside the parentheses: $128+160 + 80=368$ in².
Then, multiply by 2: $SA = 2\times368=736$ in².

Answer:

C. $736$ in²