Polyhedra and Surface Area Concepts

This video tutorial covers the concept of surface area through various examples. It begins with an introduction to nets and surface area, followed by a detailed analysis of Jada's polyhedron net and her calculation mistakes. The tutorial then explores the surface area of a cereal box, providing step-by-step calculations. It also examines the surface area of stacked cubes and how it changes when cubes are removed. Finally, the video discusses labeling polyhedra nets and calculating their surface area.

What type of polyhedron can be assembled from Jada's net?

• Triangular Prism

• Square Pyramid

• Rectangular Prism

• Cylinder

What mistake did Jada make in her area calculation?

• Forgot to add all areas

• Used wrong height

• Forgot to multiply half the base times the height

• Used wrong base length

What is the total surface area of the cereal box?

• 192 square inches

• 300 square inches

• 256 square inches

• 272 square inches

Which dimension is used for calculating the front and back surface area of the cereal box?

• 8 inches by 12 inches

• 2 inches by 8 inches

• 8 inches by 2 inches

• 2 inches by 12 inches

What is the surface area of the stacked cube figure before removing any cubes?

• 36 square units

• 30 square units

• 42 square units

• 24 square units

How does the surface area change after removing the top two cubes?

• Remains 36 square units

• Decreases to 30 square units

• Increases to 42 square units

• Decreases to 24 square units

What is the length of the edges labeled as 10 units in the polyhedra nets?

• Base edges

• Diagonal edges

• Side edges

• Height edges

What three-dimensional figure can be assembled from the given net?

• Rectangular Prism

• Square Pyramid

• Cylinder

• Triangular Prism

What is the surface area of the square pyramid assembled from the net?

• 52 square units

• 60 square units

• 48 square units

• 56 square units

How is the area of the outer triangles of the square pyramid calculated?

• Base times height

• Half of base times height

• Base plus height

• Base minus height