Exploring Surface Area of Rectangular Prisms

This video tutorial introduces the concept of three-dimensional shapes, focusing on surface area. It explains how to calculate the surface area of rectangular prisms by finding the area of each face and summing them up. The tutorial includes step-by-step examples to demonstrate the process, emphasizing the importance of recognizing duplicate faces to simplify calculations. The video concludes with practice problems to reinforce the learning objectives.

What are the two main aspects discussed in the unit on three-dimensional shapes?

• Color and size

• Weight and height

• Texture and material

• Wrapping and filling

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CCSS.1.G.A.1

CCSS.2.G.A.1

What does the surface area of a 3D shape represent?

• The weight of the shape

• The total area of all external faces

• The volume inside the shape

• The length of the shape's edges

How many faces are typically involved in calculating the surface area of a rectangular prism?

• Ten

• Six

• Four

• Eight

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CCSS.7.G.B.6

In the example, what is the area of the face that measures 8 by 7 kilometers?

• 72 square kilometers

• 56 square kilometers

• 15 square kilometers

• 65 square kilometers

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CCSS.7.G.B.6

What strategy is used to simplify the calculation of surface area when faces are identical?

• Doubling the area of one face

• Multiplying by the number of faces

• Subtracting the smallest area

• Adding the areas together

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CCSS.7.G.B.6

What is the total surface area calculated for the first example in square kilometers?

• 400 square kilometers

• 356 square kilometers

• 344 square kilometers

• 382 square kilometers

What units are used in the second example of calculating surface area?

• Square meters

• Square feet

• Square kilometers

• Square yards

What is the correct calculation for the face measuring 12 by 11 feet?

• 154 square feet

• 143 square feet

• 132 square feet

• 165 square feet

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How is the surface area of the last example calculated in terms of units?

• Square meters

• Square kilometers

• Square feet

• Square yards

Why is it important to ensure all six sides are accounted for when calculating surface area?

• To guarantee accurate surface coverage

• To calculate the correct volume

• To ensure the shape is balanced

• To determine the shape's weight