Question

I need help asp please!!!

Answer 1

Answer:

Option B, $516.3\ units$

Step-by-step 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 → $a^2 + b^2 = c^2$

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

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

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

$\sqrt{65}=\sqrt{c^2}$

$8.06 = c$

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

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

$A = \frac{10\ units\ +\ 6\ units}{2}*7\ units$

$A = 8\ units*7\ units$

$A = 56\ units^2$

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, $516.3\ units$