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

Trapezoidal prism. Base 1=3 yd by 6 yd. Base 2=7 yd by 6 yd. height of trapezoid=3.5 yd. length of rectangular side=4 yd

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

Trapezoidal prism. Base 1=3 yd by 6 yd. Base 2=7 yd by 6 yd. height of trapezoid=3.5 yd. length of rectangular side=4 yd

286 yd²

143 yd²

108 yd²

168 yd²

1 answer

To find the surface area of a trapezoidal prism, we need to calculate the area of the two trapezoidal bases and the four rectangular sides and then add them together.

Area of trapezoidal base 1 = ((3 + 7) / 2) * 6 = 5 * 6 = 30 sq yd
Area of trapezoidal base 2 = ((3 + 7) / 2) * 6 = 5 * 6 = 30 sq yd
Area of rectangular side 1 = 4 * 6 = 24 sq yd
Area of rectangular side 2 = 3 * 6 = 18 sq yd
Area of rectangular side 3 = 4 * 6 = 24 sq yd
Area of rectangular side 4 = 3 * 6 = 18 sq yd

Total surface area = 30 + 30 + 24 + 18 + 24 + 18 = 144 sq yd

Rounded to the nearest tenth, the surface area is 144 yd².