Exploring Volume of Prisms for 7th Grade Math

This video tutorial covers the calculation of volumes for both rectangular and triangular prisms. It explains the concept of volume as a measure of space in cubic units and provides formulas for calculating the volume of these prisms. The tutorial includes examples of finding volumes of different prisms and compares the volumes of various containers to determine which holds more. The video emphasizes understanding the dimensions and base area in volume calculations.

What units are used to measure the volume of a 3D figure?

• Square units

• Cubic units

• Linear units

• Quadratic units

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CCSS.5.MD.C.3A

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What formula is generally used to calculate the volume of a rectangular prism?

• Volume = Length + Width + Height

• Volume = Length x Width x Height

• Volume = (Length x Width)/Height

• Volume = Length/Width x Height

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CCSS.7.G.B.6

How do you find the base of a rectangular prism?

• Multiply length by width

• Add length and width

• It's the side on the bottom

• It's the longest side

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CCSS.7.G.B.6

What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

• 9 cm cubed

• 20 cm cubed

• 60 cm cubed

• 12 cm cubed

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CCSS.7.G.B.6

Why do we use length and width to describe the base of a triangular prism?

• To avoid confusion with two height values

• Because it's easier to calculate

• To make the formula simpler

• To differentiate from rectangular prisms

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What is the volume of a triangular prism with a base area of 24 square units and height of 9 units?

• 432 cubic units

• 108 cubic units

• 216 cubic units

• 72 cubic units

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CCSS.7.G.B.6

What is the correct formula to calculate the volume of a triangular prism?

• Volume = (Base Area x Height)/2

• Volume = 1/2 x Length x Width x Height

• Volume = Base Area x Height

• Volume = Length x Width x Height

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CCSS.7.G.B.6

If a rectangular prism and a triangular prism have the same base area and height, how do their volumes compare?

• The triangular prism has twice the volume

• The rectangular prism has twice the volume

• The triangular prism has half the volume

• They have the same volume

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CCSS.7.G.B.6

Which lunchbox can hold more food, A with dimensions 3.75 x 7.5 x 10 inches or B with dimensions 3.75 x 8 x 9.5 inches?

• Lunchbox A

• Lunchbox B

• Both hold the same

• Cannot be determined

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CCSS.5.MD.C.5B

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Between Soapy Suds and another brand, which detergent container holds more, given Soapy Suds has dimensions 12 x 8 x 13 inches?

• Cannot be determined without the other brand's dimensions

• Both hold the same

• The other brand

• Soapy Suds

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