Answer:
TAS = 43.99 m²
Step-by-step explanation:
- TSA = total surface area
- Area of a trapezoid = (1/2)(a + b)h
(where a and b are the parallel sides and h is the height) - Area of a rectangle = width x length
This prism is made up of 4 rectangles and 2 congruent trapezoids.
Area of trapezoid = (1/2) x (1.4 + 2.3) x 1.9 = 3.515 m²
⇒ area of 2 trapezoids = 3.515 x 2 = 7.03 m²
Area of base rectangle = 2.3 x 4.8 = 11.04 m²
Area of top rectangle = 1.4 x 4.8 = 6.72 m²
Area of back rectangle = 1.9 x 4.8 = 9.12 m²
Area of sloped rectangle = 2.1 x 4.8 = 10.08 m²
Total surface area = 7.03 + 11.04 + 6.72 + 9.12 + 10.08 = 43.99 m²
