Surface Area and Polyhedrons

This video tutorial extends the understanding of area from two-dimensional shapes to the surface area of three-dimensional shapes, specifically polyhedrons. It covers the concept of total surface area, which is the sum of the areas of all individual faces of a shape. The video provides examples of calculating surface area for various shapes, including cubes, prisms, and pyramids, and discusses the importance of understanding surface area in practical applications. It also touches on composite shapes and the exclusion of common faces in calculations. The tutorial concludes with a preview of upcoming topics, including the surface area of cylinders and spheres.

What is the primary focus of the video tutorial?

• Perimeter of two-dimensional shapes

• Angles in polygons

• Volume of three-dimensional shapes

• Surface area of polyhedrons

Which of the following is NOT a polyhedron?

• Cube

• Sphere

• Pyramid

• Prism

How is the total surface area of a polyhedron determined?

• By subtracting the perimeter from the area

• By adding the areas of all its faces

• By multiplying the volume by the height

• By dividing the volume by the number of faces

What is a key characteristic of a polyhedron?

• It has curved surfaces

• It is a two-dimensional shape

• It has flat polygonal faces

• It is always a cube

What is the surface area of a cube with each side measuring 2 meters?

• 8 square meters

• 24 square meters

• 12 square meters

• 16 square meters

How many faces does a cube have?

• 8

• 6

• 12

• 4

What is the formula for the area of a square?

• 2 x (Length + Width)

• Length x Width

• Length x Length

• Length x Height

What shapes make up the net of a square prism?

• Three squares and three rectangles

• Six rectangles

• Two squares and four rectangles

• Four squares and two rectangles

What is the surface area of a square prism with a side length of 2 cm and a height of 4 cm?

• 48 cm²

• 24 cm²

• 32 cm²

• 56 cm²

How many triangles are in the net of a triangular prism?

• Four

• Three

• Two

• One