3 years ago

Find the surface area of the figure. PLEASE HELP!

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

The total surface area is: 468 in^2 which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

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