Question

I Need help like rn someone HELPP!!!!!

Answer 1

Answer:

Option B, $396\ units^2$

Step-by-step explanation:

Step 1:  Determine the area of the bottom

$A = l * w$

$A = 12\ units * 8\ units$

$A = 96\ units^2$

Step 2:  Determine the area of the back

$A = l * w$

$A = 9\ units * 8\ units$

$A = 72\ units^2$

Step 3:  Determine the hypotenuse

Pythagorean theorem → $a^2 + b^2 = c^2$

$12^2 + 9^2 = c^2$

$144 + 81 = c^2$

$225 = c^2$

$\sqrt{225} = \sqrt{c^2}$

$15 = c$

Step 4:  Determine the area of the top

$A = l * w$

$A = 15\ units * 8\ units$

$A = 120\ units^2$

Step 5:  Determine the area of the triangles

$A = \frac{h\ *\ b}{2}$

$A = \frac{9\ units\ *\ 12\ units}{2}$

$A = \frac{108\ units^2}{2}$

$A = 54\ units^2$

Step 6:  Determine the surface area

$96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)$

$396\ units^2$

Answer: Option B, $396\ units^2$