Calculating Surface Area of Rectangular Prisms

In this video, Mr. J explains how to find the surface area of a rectangular prism. He introduces the concept of surface area as the total area of the outer layer of a 3D figure. The video covers the formula for calculating the surface area of a rectangular prism, which involves finding the area of each of its six faces and summing them up. Mr. J demonstrates the calculation process step-by-step, using a net of the prism to visualize the faces. The video concludes with a final calculation, resulting in a total surface area of 72 square inches.

What is the surface area of a 3D figure?

• The total area of the outside part or layer of the figure

• The total area of the inside part of the figure

• The perimeter of the figure's base

• The total volume inside the figure

How many faces does a rectangular prism have?

• 4

• 6

• 8

• 12

Tags

CCSS.6.G.A.4

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

• 2 x (Length + Width + Height)

• Length + Width + Height

• 2 x (Front/Back + Right/Left + Top/Bottom)

• Length x Width x Height

Tags

CCSS.7.G.B.6

Why do we multiply the area of one face by 2 in the formula?

• To double the total surface area

• Because all faces are identical

• It's a mathematical convention without practical reason

• To account for the opposite face being the same area

Tags

CCSS.7.G.B.6

If the front face of a rectangular prism is 6 inches by 2 inches, what is its area?

• 12 square inches

• 8 square inches

• 6 square inches

• 24 square inches

Tags

CCSS.7.G.B.6

What is the area of the right face if its dimensions are 3 inches by 2 inches?

• 5 square inches

• 6 square inches

• 9 square inches

• 12 square inches

Tags

CCSS.7.G.B.6

What is the combined area of the top and bottom faces if one face is 6 inches by 3 inches?

• 72 square inches

• 54 square inches

• 36 square inches

• 18 square inches

Tags

CCSS.7.G.B.6

What is the purpose of unfolding a rectangular prism into a net?

• To find the perimeter of the prism

• To calculate its volume

• To visualize and calculate the surface area more easily

• To understand its geometric properties

Tags

CCSS.6.G.A.4

What is the total surface area of the rectangular prism discussed in the video?

• 72 square inches

• 108 square inches

• 60 square inches

• 144 square inches

Tags

CCSS.7.G.B.6

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

• By calculating the perimeter of its base and multiplying by its height

• By finding the area of each face and adding them together

• By adding the volume of all its faces

• By multiplying its length, width, and height

Tags

CCSS.7.G.B.6