Exploring Surface Area of Prisms and Cylinders

This video tutorial focuses on the surface area of prisms and cylinders. It begins with basic definitions of polyhedrons, prisms, and cylinders, and explains the differences between right and oblique prisms. The tutorial then covers how to calculate lateral and surface areas, providing formulas and examples for both prisms and cylinders. The video concludes with practice problems to reinforce the concepts learned.

What is a polyhedron?

• A two-dimensional figure with polygonal faces

• A three-dimensional figure with polygonal surfaces

• A three-dimensional figure with curved surfaces

• A two-dimensional figure with curved edges

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What distinguishes a right prism from an oblique prism?

• The number of bases

• The color of the lateral faces

• The alignment of the sides at right angles

• The shape of the base

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the base of a triangular prism?

• A rectangle

• A pentagon

• A triangle

• A hexagon

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the correct way to name a polyhedron with a pentagonal base?

• Pentagonal sphere

• Pentagonal prism

• Pentagonal cylinder

• Pentagonal pyramid

How do you calculate the lateral area of a prism?

• Base perimeter plus height

• Sum of the base areas

• Perimeter of the base times the height

• Base area times height

Tags

CCSS.7.G.B.6

How do you find the area of a triangle used in the base of a prism?

• Base times height

• Half base times height

• Base plus height

• Half perimeter times height

Tags

CCSS.7.G.B.6

What formula is used to find the circumference of a circle, which is needed to calculate the lateral area of a cylinder?

• 2 * pi * radius

• pi * diameter

• pi * radius squared

• 2 * radius

Tags

CCSS.7.G.B.4

How is the surface area of a cylinder calculated?

• Lateral area plus the area of one base

• Lateral area plus the area of two bases

• Only the lateral area

• Only the area of the bases

What is the lateral area of a cylinder with a radius of 5 and height of 15?

• 150 pi square centimeters

• 75 pi square centimeters

• 100 pi square centimeters

• 200 pi square centimeters

What is the surface area of a prism with a lateral area of 464 square centimeters and base area of 180 square centimeters?

• 644 square centimeters

• 364 square centimeters

• 504 square centimeters

• 824 square centimeters

Tags

CCSS.7.G.B.6