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Maria is making custom designs using these small trapezoidal prisms. She wants to cover each of the 9 prisms in her current design in floral cloth on all sides. She has 3000 square centimeters of floral cloth.
Does Maria have enough cloth to cover all 9 prisms in her current design?

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The combined surface area of the prisms is
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cm², therefore Maria
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have enough cloth for her current design.

Respuesta :

akposevictor

Combined surface area of the 9 prisms is: 3,420 cm².

Maria DOES NOT have enough cloth for her current design.

What is the Surface Area of Trapezoidal Prism?

The surface area of trapezoidal prism = PH + (b1+b2)h

The custom design is a trapezoidal prism.

Find the surface area of one trapezoidal prism given the following dimensions:

Perimeter of trapezoid = P = 5 + 15 + 10 + 10 = 40 cm

  • b1 = 5 cm
  • b2 = 15 cm
  • h = 7 cm
  • H = 6 cm

Plug in the values into the formula

Surface area of 1 trapezoidal prism = (40)(6) + (5 + 15)7 = 380 cm²

Combined surface area of the 9 prisms = 9 × 380 = 3,420 cm².

Since Maria's flora cloth is 3,000 cm², therefore, she DOES NOT have enough cloth for her current design.

Learn more about surface area of trapezoidal prism on:

https://brainly.com/question/3603318

Ver imagen akposevictor
gayboissmile

Answer:

3,420 cm squared

Step-by-step explanation:

The person above and k12 told me it was correct :/

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