Calculating Volume with Fractional Cubes

The video tutorial explains how to calculate the volume of a rectangular prism using unit cubes. It begins by introducing the concept of a rectangular prism and unit cubes, each measuring 1/4 foot on each side. The tutorial then demonstrates how to calculate the volume of a single unit cube and subsequently the total volume of the prism by counting the number of unit cubes. An alternative method using the dimensions of the prism is also presented, leading to the same result of 1/4 cubic foot.

What shape is the object being discussed?

• Triangle

• Square

• Rectangular prism

• Circle

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CCSS.2.G.A.1

CCSS.1.G.A.1

What are the dimensions of each unit cube?

• 1/2 foot by 1/2 foot by 1/2 foot

• 1/4 foot by 1/4 foot by 1/4 foot

• 1 foot by 1 foot by 1 foot

• 1/3 foot by 1/3 foot by 1/3 foot

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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How is the volume of a unit cube calculated?

• Length x Width x Height

• Length - Width - Height

• Length + Width + Height

• Length / Width / Height

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What is the volume of each unit cube?

• 1/8 cubic feet

• 1/16 cubic feet

• 1/64 cubic feet

• 1/32 cubic feet

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CCSS.6.G.A.2

CCSS.5.MD.C.5A

How many unit cubes make up the first layer of the prism?

• 12

• 4

• 16

• 8

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CCSS.6.G.A.2

CCSS.5.MD.C.5A

What is the total volume of the rectangular prism?

• 1/2 cubic foot

• 1/4 cubic foot

• 1 cubic foot

• 3/4 cubic foot

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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What is the width of the rectangular prism?

• 3/4 foot

• 1 foot

• 1/4 foot

• 1/2 foot

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CCSS.7.G.B.6

What is the length of the rectangular prism?

• 1/2 foot

• 1/4 foot

• 1 foot

• 3/4 foot

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CCSS.2.MD.A.3

How is the volume of the prism calculated using its dimensions?

• Length + Width + Height

• Length - Width - Height

• Length / Width / Height

• Length x Width x Height

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CCSS.7.G.B.6

Using the alternative method, what is the calculated volume of the prism?

• 1/2 cubic foot

• 3/4 cubic foot

• 1/4 cubic foot

• 1 cubic foot

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CCSS.7.G.B.6