Answer:
C. 336 cm²
Step-by-step explanation:
Area formulas:
- Area of a right triangle: a × b ÷ 2
- Area of rectangle: length × width
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In this figure, there is a rectangle with a width of 12 and a height of 6.
[tex]12 *6 = 72[/tex]; the area of the rectangle is 72 cm².
There are two right triangles with legs of 6 and 8.
[tex]6 * 8 / 2 = 24.[/tex]
There are two right triangles so..
[tex]24 * 2 = 48.[/tex]
The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.
There is a rectangle in the middle with a width of 8 and a height of 12.
[tex]12 * 8 = 96.[/tex]
The area of the rectangle is 96 cm².
Lastly, there is a rectangle with a width of 10 and a height of 12.
[tex]12 *10 = 120.[/tex]
The area of the rectangle is 120 cm².
Now, add the areas of every shape to find your answer.
[tex]72 + 24 + 24 + 96 + 120 = 336.[/tex]
Therefore, the surface area of this three-dimensional figure is 336 cm².
