Total Surface Area of Prisms Explained

The video tutorial begins with a light-hearted introduction, including a Swedish greeting. It then delves into the topic of prisms, explaining their properties, such as having two parallel congruent bases and lateral faces. The main focus is on calculating the total surface area of prisms, using examples with different shapes like rectangles and hexagons. The tutorial includes a detailed walkthrough of a problem, demonstrating the calculation of lateral and base areas. It concludes with a mastery check example involving a triangular prism and encourages viewers to practice further.

What is the primary difference between a prism and a prison as discussed in the video?

• Prisms are geometric shapes, prisons are buildings.

• Prisms can hold objects, prisons hold people.

• Prisons are typically larger than prisms.

• Prisms have congruent bases, prisons do not.

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CCSS.RL.5.3

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

What are the two main types of surfaces on a prism?

• Curved and flat surfaces

• Lateral and base surfaces

• Internal and external surfaces

• Top and bottom surfaces

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CCSS.1.G.A.1

CCSS.2.G.A.1

How do you calculate the area of a rectangle?

• Length divided by width

• Length minus width

• Length plus width

• Length times width

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What does the term 'lateral faces' refer to in the context of prisms?

• The faces at the top and bottom

• The faces around the sides

• The internal faces

• The colored faces

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the formula for the area of a triangle?

• Half base times height

• Base plus height

• Base times height

• Base minus height

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CCSS.6.G.A.1

How many lateral faces does a triangular prism have?

• Five

• Four

• Three

• Two

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CCSS.6.G.A.4

What is the total surface area of the prism discussed in the detailed example?

• 1400 square inches

• 1200 square inches

• 1500 square inches

• 1320 square inches

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CCSS.7.G.B.6

In the triangular prism example, what is the height of the triangles used as bases?

• 12 inches

• 6 inches

• 8 inches

• 10 inches

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the role of the hypotenuse in the triangle calculations for the triangular prism?

• It determines the number of triangles.

• It is not used in the area calculation.

• It is used to calculate the height.

• It is used to calculate the area.

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CCSS.7.G.A.3

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

• 336 square inches

• 350 square inches

• 320 square inches

• 300 square inches

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CCSS.7.G.B.6