Exploring Surface Area and Volume of Triangular Prisms

This video tutorial covers the surface area and volume of triangular prisms. It begins with identifying the five surfaces of a triangular prism, including two congruent triangles and three rectangles. The tutorial then explains how to calculate the surface area by finding the area of each surface and summing them up. The video transitions to discussing volume, emphasizing the importance of identifying the correct base of the prism. It concludes with a step-by-step calculation of the volume using the formula for the area of a triangle and the height of the prism.

How many surfaces does a triangular prism have?

• 3

• 5

• 4

• 6

Tags

CCSS.6.G.A.4

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

• 1/2 Base x Height

• Base + Height

• Base x Height

• Length x Width

Tags

CCSS.6.G.A.1

What shapes make up the surfaces of a triangular prism?

• Squares and triangles

• Rectangles and triangles

• Only triangles

• Circles and rectangles

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the area of a rectangle with a length of 8 and a width of 10?

• 18

• 80

• 40

• 100

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the total surface area of the triangular prism if one of the triangle's base is 16 and height is 6, and one of the rectangle's length is 8 and width is 10?

• 160 inches squared

• 192 inches squared

• 280 inches squared

• 384 inches squared

Tags

CCSS.7.G.B.6

What is considered the base when calculating the volume of a triangular prism?

• The longest side

• The rectangle

• The triangle

• The side it rests on

Tags

CCSS.7.G.B.6

What is the formula for calculating the volume of a triangular prism?

• Length x Width x Height

• Base x Height

• Base x Width x Height

• 1/2 Base x Height of the triangle x Height of the prism

Tags

CCSS.7.G.B.6

Why is the triangle considered the base in a triangular prism?

• Because it has the largest area

• Because it has the smallest area

• Because it can stack to maintain the shape

• Because it is at the bottom

Tags

CCSS.7.G.A.3

How does the concept of volume differ from surface area?

• Volume measures the outer layer, while surface area measures inside space.

• Volume measures weight, while surface area does not.

• Volume and surface area are the same.

• Volume measures inside space, while surface area measures the outer layer.

If the base of the triangle is 16, the height of the triangle is 6, and the height of the prism is 8, what is the volume of the triangular prism?

• 96 inches cubed

• 192 inches cubed

• 768 inches cubed

• 384 inches cubed

Tags

CCSS.7.G.B.6