This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.
2 answers:
The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².
<h3>What is the Surface Area of a Trapezoidal Prism?</h3>Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.
Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²
Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²
Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²
Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²
Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²
Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²
Total surface that will be covered = 4/5(226.55) = 181.24 cm²
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