Exploring Surface Area of Prisms

Mrs. Zimmerman introduces 3D shapes, focusing on prisms and cubes. She explains how to calculate the surface area of these shapes by breaking them down into their component rectangles and triangles. The video covers rectangular prisms, cubes, and triangular prisms, providing step-by-step examples for each. The lesson emphasizes understanding the properties of these shapes and applying formulas to find their surface areas.

What defines a prism in geometry?

• A shape with identical top and bottom bases

• A shape with no flat surfaces

• A shape that can roll smoothly

• A shape with only one base

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CCSS.1.G.A.1

CCSS.2.G.A.1

How do you calculate the surface area of a rectangular prism?

• Divide the total area by the number of sides

• Add the area of all sides

• Multiply the length by width by height

• Subtract the area of the bases from the total area

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CCSS.7.G.B.6

What is the formula for the area of a rectangle?

• Length times width

• Length minus width

• Length plus width

• Length divided by width

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CCSS.3.MD.C.7B

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For a rectangular prism, if one side is colored blue, what does this imply about another side?

• It is green and on the bottom

• It is red and adjacent to the first

• No implications about other sides

• It is also blue and opposite to the first

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CCSS.6.G.A.4

What is the surface area of a cube with side length 12 meters?

• 72 meters squared

• 864 meters squared

• 144 meters squared

• 216 meters squared

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CCSS.6.G.A.4

How many sides does a cube have?

• Twelve

• Eight

• Six

• Four

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CCSS.1.G.A.1

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What is the area of a triangle with a base of 12 and height of 5?

• 24

• 17

• 60

• 30

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CCSS.6.G.A.1

How many rectangles form the sides of the unfolded triangular prism described?

• Four

• Two

• Three

• Five

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CCSS.6.G.A.4

What is the correct way to calculate the area of a triangle?

• Base minus height

• Base times height

• Base plus height

• Base times height divided by two

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CCSS.6.G.A.1

In the context of the lesson, what does 'unfolding' a prism refer to?

• Calculating its volume

• Painting each side a different color

• Folding it into a flat shape

• Breaking it apart

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CCSS.6.G.A.4