Calculating Volume of Triangular Prisms

This video tutorial explains how to find the volume of triangular prisms. It covers the formula for volume, which is base times height, and discusses how to identify the base and height in a triangular prism. The tutorial includes an example calculation, demonstrating how to find the area of the triangular base and use it to calculate the volume. The video emphasizes understanding the orientation of the prism and the importance of using the correct dimensions.

What is the formula for the volume of any prism?

• Volume = base x width x height

• Volume = 1/2 base x height

• Volume = base x height

• Volume = length x width x height

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CCSS.7.G.B.6

How do we determine the base in a triangular prism?

• Any of the rectangular faces

• The longest side of the triangle

• One of the triangular faces

• The side perpendicular to the height

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CCSS.1.G.A.1

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What does the height of a prism refer to?

• The longest side of the prism

• The side perpendicular to the base

• The vertical distance from top to bottom

• The length of the slanted side

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CCSS.7.G.B.6

How do you calculate the area of a triangle?

• Base x Height x 1/2

• 1/2 Base x Height

• 1/3 Base x Height

• Base x Height

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CCSS.6.G.A.1

Why can't slanted sides be used as the height in triangle area calculations?

• They are parallel to the base

• They are not perpendicular to the base

• They are too long

• They do not provide accurate measurements

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CCSS.6.G.A.1

What is the area of a triangle with a base of 8 cm and a height of 9 cm?

• 36 cm squared

• 72 cm squared

• 18 cm squared

• 45 cm squared

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CCSS.6.G.A.1

What is the significance of the perpendicular height in calculating the area of a triangle's base?

• All of the above

• It is required for the formula to work correctly

• It is easier to calculate than slanted heights

• It ensures accuracy in measurement

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CCSS.6.G.A.1

What unit is used for the volume of a solid?

• Square units

• Quadratic units

• Cubic units

• Linear units

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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What is the volume of a triangular prism with a base area of 36 cm squared and a height of 18 cm?

• 648 cm cubed

• 108 cm cubed

• 72 cm cubed

• 324 cm cubed

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CCSS.7.G.B.6

Why is the volume of a solid always expressed in cubic units?

• Because it measures the capacity of the solid

• Because it involves three dimensions

• Because it is derived from a cube

• Because it is a standard convention

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4