Combined surface area for the 8 prisms is: 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.
<h3>What is the Surface Area of a Trapezoidal Prism?</h3>
Surface area = (b1 + b2)h + PH
Given the following dimensions:
- b1 = 5 cm
- b2 = 15 cm
- Height of trapezium (h) = 7 cm
- Perimeter of trapezium (P) = 15 + 10 + 10 + 5 = 40 cm
- Height of prism (H) = 6 cm
Plug in the values into SA = (b1 + b2)h + PH:
Surface area = (5 + 15)7 + (40)(6)
Surface area = 380 sq. cm.
Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.
Learn more about surface area of trapezoidal prism on:
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