Finding Volume with Unit Cubes

In this video, Mr. J explains how to find the volume of rectangular prisms using unit cubes. He demonstrates two methods: calculating the volume by finding the area of the base and multiplying by the height, and using the formula length x width x height. Two examples are provided to illustrate these methods, showing that both approaches yield the same result. The video emphasizes understanding volume as the space a 3D object occupies, using unit cubes for visualization.

What is the purpose of using unit cubes in volume calculation?

• To simplify complex algebraic equations

• To provide a visual understanding of volume

• To increase the difficulty of problems

• To replace traditional measuring units

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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How do you calculate the volume of a rectangular prism using the base area times height formula?

• Multiply the area of one layer by the number of layers

• Multiply the length by the width by the height

• Count the number of unit cubes

• Add the dimensions of the prism together

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CCSS.5.MD.C.3B

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

In the first example, what is the volume of the rectangular prism?

• 45 cubic units

• 15 cubic units

• 30 cubic units

• 60 cubic units

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CCSS.7.G.B.6

How many layers are there in the first example's rectangular prism?

• Two

• Three

• Five

• Four

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CCSS.6.G.A.2

CCSS.5.MD.C.5A

What does the formula 'length x width x height' calculate?

• Surface area

• Perimeter

• Volume

• Density

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

What confirms the accuracy of both volume calculation methods?

• They require the same amount of steps

• They produce different results

• They only work for cubic shapes

• They yield the same volume result

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

What is the volume of the second rectangular prism?

• 16 cubic units

• 24 cubic units

• 48 cubic units

• 32 cubic units

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CCSS.7.G.B.6

How many unit cubes make up one layer in the second example?

• Nine

• Six

• Eight

• Seven

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CCSS.6.G.A.2

CCSS.5.MD.C.5A

Why is visualizing volume with unit cubes beneficial?

• It eliminates the need for calculation

• It provides a practical understanding of volume

• It helps in memorizing formulas

• It only benefits visual learners

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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What are the two formulas used to calculate volume in the video?

• Volume = base area x height and Volume = length x width x height

• Volume = base area / height and Volume = length / width / height

• Volume = base area - height and Volume = length - width - height

• Volume = base area + height and Volume = length + width + height

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CCSS.5.MD.C.5C