Question

I need help asp please!!!

Answer 1

Option B,
`516.3\ units`

Explanation:

Step 1: Determine the area of the back

`A = l * w`

`A = 10\ units * 13\ units`

`A = 130\ units^2`

Step 2: Determine the hypotenuse

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

`(10-6)^2\ units + 7^2\ units = c^2`

`4^2\ units + 7^2\ units=c^2`

`16\ units+49\ units=c^2`

`√(65)=√(c^2)`

`8.06 = c`

Step 3: Determine the area of the top

`A = l * w`

`A = 13\ units * 8.06\ units`

`A = 104.81\ units^2`

Step 4: Determine the area of the front

`A = l * w`

`A = 13\ units * 6\ units`

`A = 78\ units^2`

Step 5: Determine the area of the bottom

`A = l * w`

`A = 13\ units * 7\ units`

`A = 91\ units^2`

Step 6: Determine the area of the trapezoid

`A = (a + b)/(2) * h`

`A = (10\ units\ +\ 6\ units)/(2)*7\ units`

`A = 8\ units*7\ units`

`A = 56\ units^2`

Step 7: Determine the total surface area

`130\ units^2 + 104.81\ units^2 + 78\ units^2 + 91\ units^2 + 2(56\ units^2)`

`515.81\ units^2`

Answer: Option B,
`516.3\ units`