Exploring Volume Calculations of Rectangular Prisms

This video tutorial covers the concept of volume, specifically focusing on rectangular prisms. It begins by distinguishing volume from surface area, explaining that volume measures the space inside a shape and is expressed in cubic units. The general formula for calculating the volume of any prism is introduced, which involves multiplying the area of the base by the height. The tutorial provides examples, including calculating the volume of a rectangular prism and a cube, and solving for a missing dimension in a rectangular prism. The use of calculators for these calculations is also demonstrated.

What units are used to measure volume?

• Circular units

• Linear units

• Cubic units

• Square units

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What does the volume of a 3D figure represent?

• The length of the shape

• The weight of the shape

• The area around the shape

• The amount of space the shape occupies

How do you calculate the volume of a rectangular prism?

• Base Area + Height

• Length x Width x Height

• Length + Width + Height

• Base Area x Height

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What formula is used for finding the volume of any prism?

• Volume = Length x Width

• Volume = Length + Width + Height

• Volume = Base Area + Height

• Volume = Base Area x Height

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In a rectangular prism, what does the 'base' refer to?

• Any face of the prism

• The top face of the prism

• The side of the prism

• The bottom face of the prism

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What is the first step in finding the volume of a rectangular prism?

• Calculate the base area

• Write out the volume formula

• Multiply the length by the width

• Measure the height

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How is the volume of a cube calculated?

• Base Area x Height

• Side length cubed

• Side length squared

• Length x Width x Height

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What is the volume of a cube with a side length of 3/2 inches?

• 3 and 3/8 inches cubed

• 3/2 inches cubed

• 9/4 inches cubed

• 27/8 inches cubed

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How do you find a missing dimension if you know the volume of a prism?

• Subtract the base area from the volume

• Divide the volume by the base area

• Multiply the base area by the height

• Add the length, width, and height

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CCSS.7.G.B.6

If a rectangular prism has a volume of 1792 cubic inches and a base area of 112 square inches, what is its height?

• 1792 inches

• 16 inches

• 112 inches

• 160 inches

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