Question

I need help asp pleaseee!!!

Answer 1

Option B,
`396\ units^2`

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`

`√(225) = √(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 = (h\ *\ b)/(2)`

`A = (9\ units\ *\ 12\ units)/(2)`

`A = (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`