Finding Volume of Rectangular Prisms: Key Concepts and Examples

The video tutorial explains how to find the volume of right rectangular prisms using unit cubes and general rules. It begins with an introduction to the concept of volume and its dependence on dimensions like length, width, and height. The tutorial provides examples using different units, such as inches and centimeters, and explores how to express volume with smaller units. It also covers calculating volume with fractional edges. The video concludes with a call to action for community engagement and subscription to the channel's mailing list.

What are the three dimensions necessary to calculate the volume of a right rectangular prism?

• Length, Width, Height

• Radius, Circumference, Diameter

• Area, Perimeter, Height

• Base, Diagonal, Side

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CCSS.7.G.B.6

How is the volume of a rectangular prism expressed in terms of units?

• Linear units

• Quadratic units

• Cubic units

• Square units

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What does the volume of a figure represent?

• The surface area of the figure

• The perimeter of the figure

• The amount of space inside the figure

• The length of the figure

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

• Volume = Length + Width + Height

• Volume = Length x Width x Height

• Volume = 2(Length + Width + Height)

• Volume = (Length x Width) / Height

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CCSS.7.G.B.6

If the base area of a rectangular prism is 14 cm² and the height is 5 cm, what is the volume?

• 29 cm³

• 39 cm³

• 70 cm³

• 19 cm³

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CCSS.7.G.B.6

How does changing the unit of measurement from centimeters to half-centimeters affect the volume representation?

• The volume becomes zero

• The volume increases

• The volume stays the same

• The volume decreases

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What is the volume of a rectangular prism in 1/2 centimeter cubes if its dimensions in centimeters are doubled?

• 140

• 280

• 560

• 70

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CCSS.7.G.B.6

How many 1/4 inch cubes are needed to fill a prism with fractional dimensions?

• 363

• 360

• 361

• 362

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CCSS.5.MD.C.5A

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What is the equivalent of 1 and 1/2 inches in terms of 1/4 inch cubes?

• 6 cubes

• 7 cubes

• 5 cubes

• 4 cubes

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If the width of a rectangular prism is represented by four 1/4 inch cubes, what was the original width in inches?

• 3 inches

• 2 inches

• 1 inch

• 4 inches

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CCSS.2.MD.A.3