Exploring Surface Area of Rectangular Prisms

The video tutorial introduces the concept of finding the surface area of rectangular prisms, emphasizing its importance in real-world applications like packaging design. It explains the features of rectangular prisms, such as congruent sides, and provides a detailed, step-by-step process for calculating surface area using formulas. The tutorial includes multiple example problems to reinforce learning and concludes with a final example and instructions for student check-in and practice assignments.

Why is understanding the surface area important for box designers?

• To determine the weight of the box

• To calculate the cost of materials

• To know how much design space they have

• To figure out the volume of the box

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CCSS.6.G.A.4

What geometric shape is primarily discussed in this lesson?

• Sphere

• Cylinder

• Rectangular prism

• Cube

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CCSS.1.G.A.1

CCSS.2.G.A.1

How many congruent side pairs does a rectangular prism have?

• One

• Two

• Three

• Four

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the formula used to calculate the area of a rectangle?

• Length + Width

• Length x Width

• Base x Height

• 2 x (Length + Width)

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In the example, what is the area of a side that measures 2 by 5 cm?

• 7 cm squared

• 15 cm squared

• 10 cm squared

• 12 cm squared

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CCSS.HSG.CO.C.11

How many total sides does a rectangular prism have?

• Four

• Ten

• Six

• Eight

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CCSS.6.G.A.4

What is the total surface area calculated for the first example?

• 100 cm squared

• 120 cm squared

• 160 cm squared

• 140 cm squared

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CCSS.6.G.A.4

What should you do if you can't see a side's dimensions directly?

• Measure with a ruler

• Skip the calculation

• Use known properties of prisms

• Guess the dimensions

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CCSS.7.G.B.6

What is the area of a side that is 7 by 2 cm?

• 14 cm squared

• 18 cm squared

• 12 cm squared

• 16 cm squared

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CCSS.6.G.A.1

How many unique sides are typically calculated before doubling for symmetry in a rectangular prism?

• Three

• Two

• Four

• Six

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CCSS.6.G.A.4