Question

Calculator

Answer 1

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.