Find the surface area. Round your answer to the nearest tenth.

trapezoidal prism sides=7yd, 4yd, 3yd, 6yd, altitude=3.5 yd

Find the surface area. Round your answer to the nearest tenth.

trapezoidal prism sides=7yd, 4yd, 3yd, 6yd, altitude=3.5 yd

286 yd²

143 yd²

108 yd²

168 yd²

1 answer

The surface area of a trapezoidal prism can be calculated using the formula:

SA = 2b1 + 2b2 + ph

Where:
- b1 and b2 are the bases of the trapezoid (sides 7yd and 4yd)
- p is the perimeter of the trapezoid (sides 3yd, 6yd, 7yd, and 4yd)
- h is the altitude of the trapezoid (3.5yd)

Plugging in the values:
SA = 2(7yd + 4yd) + (3yd + 6yd + 7yd + 4yd) * 3.5yd
SA = 2(11yd) + 20yd * 3.5yd
SA = 22yd + 70yd
SA = 92yd

Rounded to the nearest tenth, the surface area is:

92 yd²

So, the closest option is 108 yd².