Understanding Surface Area of Prisms and Pyramids

The video tutorial covers the concept of surface area for prisms and pyramids. It begins with an introduction to surface area as the sum of the areas of each face. The tutorial provides detailed calculations for the surface area of a rectangular prism, a triangular prism, and a pyramid, including a triangular pyramid. The instructor emphasizes the importance of listing or drawing each face and calculating their areas individually before summing them up. The video concludes with a reminder to show work and use a calculator if needed.

What is the best method to ensure all faces are accounted for when calculating surface area?

• List and draw each face

• Calculate only visible faces

• Guess the total area

• Ignore the base and top faces

Tags

CCSS.7.G.B.6

How many faces does the discussed prism have?

• Four

• Six

• Eight

• Five

Tags

CCSS.7.G.B.6

What is the area of one of the side faces of the prism if its dimensions are 15 by 5?

• 75 sq meters

• 50 sq meters

• 100 sq meters

• 20 sq meters

Tags

CCSS.7.G.B.6

What is the total surface area of the prism discussed?

• 270 sq meters

• 370 sq meters

• 570 sq meters

• 470 sq meters

Tags

CCSS.7.G.B.6

What shape is combined with triangles to form the complex shape discussed?

• Circle

• Square

• Hexagon

• Rectangle

Tags

CCSS.1.G.A.2

What is the total surface area of the complex shape discussed?

• 1410 sq inches

• 1510 sq inches

• 1610 sq inches

• 1710 sq inches

Tags

CCSS.7.G.B.6

What is the area of the rectangular base of the pyramid discussed?

• 70 sq inches

• 80 sq inches

• 50 sq inches

• 60 sq inches

Tags

CCSS.7.G.B.6

What is the total surface area of the pyramid with a rectangular base?

• 150 sq inches

• 450 sq inches

• 350 sq inches

• 250 sq inches

Tags

CCSS.7.G.B.6

What is the area of the base face of the triangular pyramid?

• 4.7 sq meters

• 1.7 sq meters

• 2.7 sq meters

• 3.7 sq meters

Tags

CCSS.7.G.B.6

What is the total surface area of the triangular pyramid?

• 12.7 sq meters

• 14.7 sq meters

• 13.7 sq meters

• 11.7 sq meters

Tags

CCSS.7.G.B.6