Answer:
468 Square Centimeters
Explanation:
Surface area can be calculated by adding the areas of each face on a prism:
- The rectangle to the left is a 9 by 10. The formula for the area of a rectangle is length times width, so we can get the area by multiplying 9 and 10: 9*10=90
- To the right of that rectangle is another rectangle. This time it's a 10 by 12, as we can see in the picture. Multiply 10 and 12: 10*12=120
- The last rectangle, on the right, is a 15 by 10. Multiply 15 and 10: 15*10=150
- Now look at the triangle on the top. The formula for the area of a triangle is base times height divided by 2. The base of the triangle in this case is the bottom side, 12. The height is how tall the triangle is, 9. Multiply 9 and 12: 9*12=108. Divide that by 2: 108/2=54
- Finally, look at the triangle on the bottom. It is exactly the same as the one on the top, with a base of 12 and a height of 9. Since it is exactly the same, we know that it has the same area too: 54
- Add up the areas: 90+120+150+54+54=468
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