Exploring Lateral Surface Area of Prisms

The video tutorial covers the lateral area of prisms, starting with an introduction and apology for any potential offense. It explains the types of areas in prisms, provides definitions of key terms, and gives examples of different prisms. The importance of nets is discussed, followed by a demonstration using Mathagon to visualize nets. The tutorial then details the steps to calculate the lateral area of prisms and concludes with a mastery check example problem.

What are the two types of areas discussed in the lesson for prisms?

• Lateral and surface areas

• Front and back areas

• Top and bottom areas

• Inside and outside areas

What defines a prism in geometry?

• A flat two-dimensional shape

• A three-dimensional object with only triangular faces

• A shape with at least one curved surface

• A solid object with two parallel congruent polygonal bases

What is a 'net' in the context of geometry?

• A type of prism with net-like surfaces

• A tool used to measure angles in prisms

• A mathematical formula for calculating area

• A two-dimensional pattern that can be folded to form a 3D solid

How many lateral faces does a pentagonal prism have?

• Six

• Four

• Three

• Five

What is the formula used to calculate the area of a rectangle?

• Base times height

• Length plus width

• Pi times radius squared

• Side times side

How many sides does a hexagonal base have?

• Six

• Five

• Four

• Seven

What is the total lateral area of a hexagonal prism if one side's area is 15 km²?

• 75 km²

• 90 km²

• 60 km²

• 45 km²

In the mastery check, what shape bases does the pentagonal prism have?

• Pentagon

• Hexagon

• Rectangle

• Triangle

What is the total lateral area calculated for the pentagonal prism in the mastery check?

• 900 inches squared

• 1200 inches squared

• 800 inches squared

• 1000 inches squared

Which website was recommended for further exploration of 3D objects and nets?

• solidfigures.net

• geometricshapes.com

• mathagon.org

• 3dmodels.edu