Exploring the Volume of Triangular Prisms

The video tutorial introduces the concept of volume, transitioning from rectangular to triangular prisms. It explains the structure of triangular prisms, including their nets, and provides a method to calculate their volume. The tutorial includes examples and practice problems to reinforce learning, concluding with a word problem application.

What shapes form the sides of a triangular prism?

• Five rectangles

• Three rectangles and two triangles

• Four triangles only

• Two rectangles and three triangles

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

Which net correctly represents a triangular prism?

• A net with five triangles

• A net with two circles and three rectangles

• A net with two triangles and three rectangles

• A net with one triangle and four rectangles

Tags

CCSS.6.G.A.4

How do you find the volume of a triangular prism?

• Multiply the area of the base triangle by the height of the prism

• Divide the area of the base triangle by the height of the prism

• Add the areas of all the sides together

• Multiply the area of the base by the width of the prism

Tags

CCSS.7.G.B.6

What is the formula for the area of a triangle?

• Base plus height divided by 2

• Base times height

• Base minus height divided by 2

• Base times height divided by 2

Tags

CCSS.6.G.A.1

If the base of a triangle is 8 inches and the height is 3 inches, what is the area?

• 24 square inches

• 12 square inches

• 4 square inches

• 11 square inches

Tags

CCSS.6.G.A.1

What is the volume of a triangular prism with a base area of 84 meters and height of 22 meters?

• 84 meters cubed

• 1848 meters cubed

• 106 meters cubed

• 220 meters cubed

Tags

CCSS.7.G.B.6

In a triangular prism, if the base of the triangle is 12 cm and the height is 16 cm, what is the area of the base?

• 128 square centimeters

• 28 square centimeters

• 192 square centimeters

• 96 square centimeters

How do you determine the correct base and height for calculating the area of a triangle in a prism?

• The base and height must form a right angle

• The base is always the longest side

• The height is always the side opposite the base

• The base and height are interchangeable

Tags

CCSS.7.G.A.3

What is the volume of a triangular prism with a base area of 12 cm² and a height of 8 cm?

• 96 cm³

• 64 cm³

• 20 cm³

• 48 cm³

Tags

CCSS.7.G.B.6

A triangular door wedge has a base area of 55 cm² and a height of 5 cm. What is its volume?

• 275 cm³

• 110 cm³

• 60 cm³

• 165 cm³

Tags

CCSS.HSG.GMD.A.3