Lateral and Total Surface Areas

The video tutorial explains the concepts of lateral and total surface area for different shapes, including rectangular prisms, triangular prisms, and pyramids. It provides step-by-step calculations for finding the lateral and total surface areas, emphasizing the importance of identifying bases and using appropriate formulas. The tutorial also includes practical examples and encourages students to engage with the material through participation and practice exercises.

What is the primary focus when calculating the lateral surface area of a shape?

• Finding the area of the sides only

• Finding the area of the entire shape

• Finding the volume of the shape

• Finding the area of the base only

In a rectangular prism, which parts are typically considered the bases?

• The top and bottom faces

• The two largest faces

• The two smallest faces

• Any two opposite faces

How do you calculate the lateral surface area of a rectangular prism?

• Add the areas of all faces

• Multiply the length, width, and height

• Subtract the base area from the total area

• Add the areas of the sides only

What is the lateral surface area of a rectangular prism with side dimensions of 10 feet by 2 feet and 2 feet by 6 feet?

• 104 square feet

• 84 square feet

• 124 square feet

• 64 square feet

When calculating the total surface area of a rectangular prism, what additional areas must be included?

• None of the above

• Both the lateral and base areas

• Only the base areas

• Only the lateral areas

What is the total surface area of a rectangular prism with a lateral surface area of 64 square feet and base areas of 60 square feet each?

• 184 square feet

• 204 square feet

• 224 square feet

• 244 square feet

In a triangular prism, which shapes are considered the bases?

• The squares

• The parallelograms

• The triangles

• The rectangles

How do you calculate the lateral surface area of a triangular prism?

• Add the areas of the rectangular sides

• Subtract the base area from the total area

• Multiply the base and height of the triangles

• Add the areas of the triangular bases

What is the lateral surface area of a triangular prism with three rectangular sides each measuring 5 feet by 15 feet?

• 285 square feet

• 255 square feet

• 315 square feet

• 225 square feet

How do you calculate the total surface area of a triangular prism?

• Add the areas of both the lateral sides and the bases

• Subtract the base area from the lateral area

• Add the areas of the lateral sides only

• Add the areas of the bases only