Calculating Surface Area of Rectangular Prisms

This tutorial explains how to find the surface area of a rectangular prism by calculating the area of each of its six rectangular surfaces and adding them together. It introduces the concept of congruent surfaces and demonstrates a method using a Y figure to simplify the calculation. An example with specific dimensions is provided to illustrate the process, and the tutorial concludes with a summary of the steps involved.

What is the first step in finding the surface area of a rectangular prism?

• Add the areas of all faces directly

• Draw a 'Y' shape to represent dimensions

• Identify and unfold the six rectangular surfaces

• Multiply the length by the width

Tags

CCSS.7.G.B.6

How many rectangles make up the surface of a rectangular prism?

• Ten

• Eight

• Six

• Four

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CCSS.1.G.A.1

CCSS.2.G.A.1

What does it mean when two surfaces of a rectangular prism are congruent?

• They are parallel but not equal

• They have the same area

• They are opposite to each other

• They intersect at a right angle

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How many surfaces of a rectangular prism have congruent pairs?

• Two

• Three

• Four

• Six

Tags

CCSS.7.G.B.6

How can the 'Y' method simplify the calculation of a rectangular prism's surface area?

• By eliminating the need for addition

• By automatically doubling the calculated area

• By identifying the longest side

• By reducing the number of multiplications needed

Tags

CCSS.6.G.A.4

Which dimensions are used in the 'Y' method for calculating surface area?

• Length, Width, and Diagonal

• Base, Height, and Diagonal

• Height, Diagonal, and Width

• Length, Width, and Height

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What does each line in the 'Y' shape represent in the context of a rectangular prism?

• A corner of the prism

• A surface area of the prism

• The diagonal of the prism

• One of the three dimensions of the prism

Tags

CCSS.7.G.B.6

What is the correct formula to calculate the surface area of a rectangular prism?

• Length + Width + Height

• Length x Width x Height

• 2(lw + lh + wh)

• 2(Length + Width + Height)

Tags

CCSS.7.G.B.6

After calculating the area of three surfaces in the 'Y' method, what is the next step?

• Multiply each area by two

• Add the areas and then double the result

• Divide the total by two

• Subtract the smallest area

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CCSS.6.G.A.4

What is the significance of doubling the calculated area in the final step?

• To adjust for any missing dimensions

• To account for the base and top surfaces

• To ensure all six surfaces are accounted for

• To double check the calculation for errors

Tags

CCSS.6.G.A.4