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

I Need help like rn someone HELPP!!!!!-example-1
User Tahir Siddiqui
by
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1 Answer

5 votes
5 votes

Answer:

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

User ADoubleSo
by
2.4k points