Exploring Surface Area with Nets

This video tutorial covers the concept of surface area through various examples. It begins with an introduction to surface area, followed by a detailed analysis of Jada's polyhedron net and her calculation errors. The tutorial then demonstrates how to calculate the surface area of a cereal box and a stack of cubes, including changes when cubes are removed. It also includes labeling polyhedra nets with correct measurements and concludes with assembling and calculating the surface area of a square pyramid.

What shape can be assembled from the net discussed in the first problem?

• Cube

• Triangular Prism

• Cylinder

• Rectangular Prism

Tags

CCSS.6.G.A.4

What error did Jada make when calculating the area of the triangles?

• Used 12 cm instead of 6 cm

• Multiplied by 2 instead of 0.5

• Added instead of multiplying

• Used incorrect height

Tags

CCSS.6.G.A.1

What is the total surface area of the cereal box?

• 272 square inches

• 260 square inches

• 280 square inches

• 290 square inches

Tags

CCSS.6.G.A.4

How many square units is the surface area of the twelve stacked cubes?

• 30 square units

• 36 square units

• 48 square units

• 42 square units

Tags

CCSS.6.G.A.4

What happens to the surface area when the top two cubes are removed?

• Remains 36 square units

• Decreases to 30 square units

• Decreases to 28 square units

• Increases to 40 square units

Tags

CCSS.6.G.A.4

What are the lengths of the edges labeled 'a' in the first polyhedron net?

• 5 units

• 13 units

• 4 units

• 10 units

Tags

CCSS.6.G.A.4

What three-dimensional figure is formed from the net in the last problem?

• Cylinder

• Cone

• Triangular Prism

• Square Pyramid

Tags

CCSS.6.G.A.4

What is the area of the base of the square pyramid?

• 16 square units

• 20 square units

• 24 square units

• 28 square units

Tags

CCSS.7.G.B.6

How many square units is the total surface area of the square pyramid net?

• 65 square units

• 70 square units

• 56 square units

• 60 square units

Tags

CCSS.6.G.A.4

What is the area of each triangular side of the square pyramid?

• 10 square units

• 12 square units

• 15 square units

• 18 square units

Tags

CCSS.7.G.B.6