Understanding Triangular Prisms and Surface Area

This video tutorial covers constructing nets of solids and calculating their surface area, focusing on a triangular prism. The instructor uses a bread loaf analogy to explain the concept of a triangular prism and demonstrates how to unfold it into a net on a grid. The video concludes with a detailed calculation of the surface area, emphasizing the importance of understanding the geometry of the shapes involved.

What is the main focus of the lesson in this video?

• Exploring the history of mathematics

• Constructing nets of solids and finding their surface area

• Learning about algebraic equations

• Understanding the properties of circles

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CCSS.1.G.A.1

CCSS.2.G.A.1

How is a triangular prism described in the video?

• As a loaf of bread with triangular slices

• As a cube with triangular faces

• As a cylinder with triangular bases

• As a sphere with triangular sections

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CCSS.6.G.A.4

What is the first step in constructing the net of the triangular prism?

• Drawing the base on the grid

• Finding the diagonal

• Calculating the volume

• Measuring the height

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CCSS.1.G.A.1

CCSS.2.G.A.1

What are the dimensions of the base of the triangular prism?

• 4 cm by 8 cm

• 7 cm by 14 cm

• 5 cm by 10 cm

• 6 cm by 12 cm

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CCSS.6.G.A.4

How many rectangles are part of the net of the triangular prism?

• Five

• Four

• Two

• Three

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CCSS.7.G.B.6

What is the formula used to calculate the area of the triangular faces?

• 2πr

• 1/2 base times height

• Length times width

• Base times height

What is the significance of the right angle in the triangular faces?

• It is used to calculate the volume

• It shows the base and height are perpendicular

• It marks the midpoint of the base

• It indicates the triangle is isosceles

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CCSS.6.G.A.4

What is the purpose of labeling the triangles as 'C' in the video?

• To indicate they are the same size

• To differentiate them from the rectangles

• To mark them as the largest faces

• To show they are not part of the net

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CCSS.7.G.B.6

What is the total surface area of the triangular prism calculated in the video?

• 216 cm²

• 200 cm²

• 250 cm²

• 180 cm²

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CCSS.7.G.B.6

What is the final step in calculating the surface area of the prism?

• Adding up the areas of all faces

• Subtracting the area of the base

• Multiplying the dimensions of the base

• Dividing the total area by two

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CCSS.7.G.B.6