Lesson 15
More Nets, More Surface Area
Problem 1
Jada drew a net for a polyhedron and calculated its surface area.
- What polyhedron can be assembled from this net?
- Jada made some mistakes in her area calculation. What were the mistakes?
- Find the surface area of the polyhedron. Show your reasoning.
Solution
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Problem 2
A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area? Show your reasoning. If you get stuck, consider drawing a sketch of the box or its net and labeling the edges with their measurements.
Solution
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Problem 3
Twelve cubes are stacked to make this figure.
- What is its surface area?
- How would the surface area change if the top two cubes are removed?
Solution
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(From Unit 1, Lesson 12.)Problem 4
Here are two polyhedra and their nets. Label all edges in the net with the correct lengths.
Solution
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Problem 5
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What three-dimensional figure can be assembled from the net?
- What is the surface area of the figure? (One grid square is 1 square unit.)
Solution
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(From Unit 1, Lesson 14.)