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Short answer📘 6.G.A.4🧠 DOK 3

Question:

A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Draw a net that represents this rectangular prism. Then, calculate the surface area of the prism using the net you created. Explain each step of your process.

✅ Answer:
To draw a net for the rectangular prism, sketch six rectangles: two rectangles of 8 cm by 5 cm (for the top and bottom), two rectangles of 8 cm by 3 cm (for the front and back), and two rectangles of 5 cm by 3 cm (for the sides). Position these rectangles in a way that they can be folded into the prism. To find the surface area, calculate the area of each rectangle and sum them up: - Top and bottom: 2 rectangles of 8 cm × 5 cm = 2 × 40 = 80 cm² - Front and back: 2 rectangles of 8 cm × 3 cm = 2 × 24 = 48 cm² - Sides: 2 rectangles of 5 cm × 3 cm = 2 × 15 = 30 cm² Add these areas together to find the total surface area: 80 cm² + 48 cm² + 30 cm² = 158 cm². Thus, the surface area of the rectangular prism is 158 cm².

💡 Explanation:

  • This question requires students to visualize and draw a 2D net to represent a 3D shape, a rectangular prism in this case.

  • By calculating the area of each part of the net and summing them up, students demonstrate their understanding of how to find the surface area of 3D figures.

  • This process involves spatial reasoning and understanding the relationship between 2D and 3D figures, which aligns with DOK level 3 complexity.

Standard: 6.G.A.4 | DOK: 3

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