Exploring Surface Area Calculations for Triangular Prisms

The video tutorial explains how to calculate the surface area of a triangular prism. It begins with an introduction to the concept of surface area, followed by identifying the different shapes that make up the prism. The tutorial then demonstrates how to calculate the area of each shape, including triangles and rectangles, using appropriate formulas. The importance of careful calculation and labeling is emphasized to avoid errors. The video concludes with a summary of the total surface area calculation and a reminder to use square units.

What is the surface area of a solid?

• Perimeter of the base

• Sum of the areas of all faces

• Length of the solid

• Volume of the solid

What shapes make up the faces of the triangular prism described?

• Circles and squares

• Only triangles

• Triangles and rectangles

• Rectangles and circles

Tags

CCSS.6.G.A.4

How do you calculate the area of a triangle?

• Pi times radius squared

• Length times width

• Base times height

• Half the base times the perpendicular height

Tags

CCSS.6.G.A.1

What is the area of the triangular faces if the base is 4 meters and the height is 3 meters?

• 8 square meters

• 6 square meters

• 12 square meters

• 24 square meters

Tags

CCSS.6.G.A.1

What is the formula used to calculate the area of the rectangular faces?

• Length times breadth

• Base times height

• Length plus breadth

• Half the base times height

Tags

CCSS.7.G.B.6

Why do we multiply the area of the triangular face by 2?

• It's a standard in geometry

• Because the prism has two bases

• There are two triangular faces at both ends

• To account for the top and bottom

Tags

CCSS.7.G.B.6

How many rectangular faces does the described triangular prism have?

• Five

• Four

• Three

• Two

Tags

CCSS.6.G.A.4

What is the area of the floor of the prism if its length is 8 meters and width is 4 meters?

• 32 square meters

• 40 square meters

• 24 square meters

• 12 square meters

Tags

CCSS.7.G.B.6

What is the total surface area of the triangular prism?

• 120 square meters

• 108 square meters

• 110 square meters

• 100 square meters

Tags

CCSS.7.G.B.6

What units are used to express the area of surfaces?

• Cubic meters

• Linear meters

• Square meters

• Meters