Surface Area and Volume of Prisms

The video tutorial explains how to calculate the surface area of a triangular prism, which consists of two triangular bases and three rectangular faces. It covers the formulas for finding the area of triangles and rectangles, and provides example problems to illustrate the process. The tutorial emphasizes the importance of understanding the dimensions of each face and using the correct formulas to find the total surface area.

What are the components of a triangular prism?

• Two rectangular bases and three triangular faces

• Three rectangular bases and two triangular faces

• Two triangular bases and three rectangular faces

• Three triangular bases and two rectangular faces

Tags

CCSS.6.G.A.1

Which formula is used to calculate the area of a triangle?

• One-half base times height

• Length times width

• Two times base times height

• Base times height

Tags

CCSS.6.G.A.1

If the base of a triangle is 6 and the height is 4, what is the area of both triangles together?

• 12

• 24

• 48

• 36

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the length of the rectangles in the first example?

• 6

• 8

• 10

• 12

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How do you determine the width of the rectangles in the prism?

• Using the three sides of the triangle

• Using the diagonal of the prism

• Using the height of the prism

• Using the length of the prism

In the second example, what is the base and height of the triangles?

• Base: 10, Height: 12

• Base: 12, Height: 16

• Base: 8, Height: 10

• Base: 16, Height: 12

Tags

CCSS.7.G.B.6

What is the total surface area of the prism in the second example?

• 214 inches squared

• 192 centimeters squared

• 480 centimeters squared

• 672 centimeters squared

Tags

CCSS.7.G.B.6

What is the key to finding the surface area of any shape?

• Knowing the volume of the shape

• Knowing the perimeter of the shape

• Knowing the formula for each two-dimensional figure that makes it up

• Knowing the height of the shape

Tags

CCSS.6.G.A.4

How many rectangles are there in a triangular prism?

• Two

• Three

• Five

• Four

Tags

CCSS.7.G.B.6

What is the final step in calculating the surface area of a triangular prism?

• Multiplying the areas of the triangles and rectangles

• Dividing the areas of the triangles by the rectangles

• Subtracting the areas of the triangles from the rectangles

• Adding the areas of the triangles and rectangles

Tags

CCSS.7.G.B.6