Calculating the Volume of Triangular Prisms

The video tutorial by Mr. J explains how to find the volume of a triangular prism. It begins with an introduction to the concept of volume and the formula used for prisms, which is the area of the base times the height. The tutorial then focuses on triangular prisms, explaining how to calculate the area of the triangular base using the formula base times height divided by two. Two examples are provided to demonstrate the step-by-step process of calculating the volume, including plugging in values and solving the equations. The video concludes with a recap of the method used to find the volume of a triangular prism.

What is the formula for calculating the volume of any prism?

• Volume = base + height

• Volume = base x height / 2

• Volume = base x height

• Volume = (base x height) / 3

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CCSS.7.G.B.6

What does the 'B' symbol represent in the volume formula?

• The bulk of the prism

• The base area of the prism

• The breadth of the prism

• The boundary length of the prism

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CCSS.7.G.B.6

How do you calculate the area of a triangular base?

• Base x Height

• (Base + Height) / 2

• (Base x Height) / 2

• Base + Height

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CCSS.6.G.A.1

What are the bases of a triangular prism described as?

• Congruent and perpendicular

• Congruent and parallel

• Incongruent and parallel

• Incongruent and perpendicular

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CCSS.1.G.A.1

CCSS.2.G.A.1

How is the height of the prism defined in the context of finding volume?

• The vertical distance

• The perimeter of the base

• The horizontal distance

• The distance between the bases

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CCSS.7.G.B.6

What mathematical operation is performed after finding the area of the triangular base?

• Multiplication with the height of the prism

• Addition with the height of the prism

• Division with the height of the prism

• Subtraction with the height of the prism

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CCSS.7.G.B.6

In the first example, what is the base length of the triangle?

• 6 centimeters

• 4 centimeters

• 5 centimeters

• 10 centimeters

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

• 70 cubic centimeters

• 50 cubic centimeters

• 60 cubic centimeters

• 80 cubic centimeters

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CCSS.7.G.B.6

In the second example, what is the height of the triangular base?

• 35 inches

• 7 inches

• 10 inches

• 3 inches

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the final volume found in the second example?

• 105 cubic inches

• 125 cubic inches

• 95 cubic inches

• 115 cubic inches

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CCSS.5.MD.C.5B

CCSS.6.G.A.2