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10 ft
10 ft
What is the surface area of this figure?
18 t
Enter your answer in the box
9 ft
12 ft
6 ft
ft
18 ft

Calculator 10 ft 10 ft What is the surface area of this figure? 18 t Enter your answer-example-1

2 Answers

2 votes

Answer:

936

Step-by-step explanation: I took the test

User Tjm
by
3.5k points
5 votes

Solution:

First, let's find the surface area of the triangular prism.

  • 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
  • => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
  • => (96) + 120 + 72 = Surface area of triangular prism
  • => 96 + 192 = Surface area of triangular prism
  • => 288 ft² = Surface area of triangular prism

Now, let's find the surface area of the rectangular prism.

  • 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
  • => 2(162) + 2(54) + 2(108)
  • => 324 + 108 + 216
  • => 2(324) = 648 ft²

Now, add both the surface areas to find the surface area of the figure.

  • 288 + 648 = Surface area of figure
  • => 936 ft² = Surface area of figure

The surface area of the figure is 936 ft².