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This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.

How much of the total surface will be covered with glitter?

Enter your answer as a decimal or mixed number in simplest form in the box.

cm²

Right trapezoidal prism. The height of the trapezoid base is labeled 4 centimeters. The larger base is labeled 6 and 1 half centimeters, and the shorter base is 5 and 1 fourth centimeters. The two legs of the trapezoid are labeled 4 centimeters and 4 and 1 fifth centimeters. The height of the prism is labeled 9 centimeters.

PLease helpppp!! only have 2 minutesd

Respuesta :

Answer:

181.24

Step-by-step explanation:

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akposevictor

The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².

What is the Surface Area of a Trapezoidal Prism?

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

Learn more about the surface area of Trapezoidal Prism on:

https://brainly.com/question/2234926

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