Developing a Plan for Finding Surface Area Using Congruent Faces

This lesson teaches how to develop a plan for finding the surface area of 3D solids by understanding congruent faces. It covers different types of rectangular prisms, including those with varying face sizes and edge lengths, and provides examples of calculating surface area. The lesson concludes with a review of the concepts discussed, emphasizing the importance of identifying face sizes and edge lengths in determining surface area.

What is the definition of surface area in the context of 3D solids?

• The height of the solid

• The perimeter of the base of the solid

• The sum of the areas of all faces of the solid

• The volume of the solid

When calculating the surface area of a prism with three different face sizes, what is the first step?

• Measure the height of the prism

• Find the volume of the prism

• Identify the number of different face sizes and edge lengths

• Calculate the perimeter of the base

In a prism with two small, two medium, and two large faces, how do you calculate the total surface area?

• Only calculate the area of the largest face

• Subtract the area of the smallest face from the largest

• Multiply the area of each face by the number of times it appears and then add

• Add the areas of all faces without multiplying

How many edge lengths are there in a prism with two face sizes?

• Three

• Four

• Two

• One

What is the formula for finding the surface area of a cube?

• Four times the area of one face

• Six times the area of one face

• The sum of the areas of all different faces

• The perimeter of one face times the height