Understanding the Volume of a Triangular Prism

The video tutorial explains how to calculate the volume of a triangular prism. It begins by introducing the formula for volume, which is the area of the base multiplied by the height. The tutorial then guides viewers through identifying the base and height of the prism, calculating the area of the triangular base, and finally using these values to find the volume. The process is broken down into clear steps, with examples provided to illustrate the calculations. The video concludes with a summary and additional tips for solving similar problems.

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

• Base times height divided by two

• Length times width times height

• Area of base times height

• Length times width

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CCSS.1.G.A.1

CCSS.2.G.A.1

In the context of a triangular prism, what does the 'base' refer to?

• The longest side of the triangle

• The triangular face of the prism

• The bottom surface of the prism

• The height of the prism

Tags

CCSS.6.G.A.1

How do you calculate the area of a triangular base?

• Length times width

• Base times height divided by two

• Base times height

• Base plus height

Tags

CCSS.6.G.A.1

What is the area of a triangular base with a base of 8 cm and height of 15 cm?

• 90 cm²

• 30 cm²

• 120 cm²

• 60 cm²

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the height of the triangular prism in the example?

• 10 cm

• 12 cm

• 15 cm

• 8 cm

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CCSS.7.G.B.6

How do you find the volume of the triangular prism once you have the base area?

• Multiply the base area by the height of the prism

• Add the base area to the height of the prism

• Divide the base area by the height of the prism

• Subtract the height from the base area

Tags

CCSS.7.G.B.6

What is the volume of the triangular prism in the example?

• 720 cubic centimeters

• 600 cubic centimeters

• 360 cubic centimeters

• 480 cubic centimeters

Tags

CCSS.6.G.A.1

What is the formula for the area of a triangle?

• Base times height

• Base times height divided by two

• Length times width

• Base plus height

Tags

CCSS.6.G.A.1

What is the relationship between the area of a rectangle and a triangle with the same base and height?

• The rectangle's area is half the triangle's

• The triangle's area is half the rectangle's

• The triangle's area is double the rectangle's

• They have the same area

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CCSS.7.G.B.6

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

• Finding the perimeter of the base

• Dividing the base area by the height

• Multiplying the base area by the height

• Adding the base area to the height

Tags

CCSS.7.G.B.6