Understanding the Volume of a Rectangular Prism

The video tutorial by The Maths Guy explains how to calculate the volume of a rectangular prism. It begins with an introduction to the concept of a rectangular prism and the definition of volume. The tutorial then presents the formula for volume calculation: length times width times height, emphasizing the commutative property of multiplication. Two examples are provided to demonstrate the calculation process, highlighting the importance of including units in the final answer. The video concludes with a summary of key points and encourages viewers to practice with additional questions.

What is a rectangular prism?

• A 2D shape with four sides

• A 3D shape with six rectangular faces

• A 3D shape with circular faces

• A 2D shape with three sides

What does the volume of a shape represent?

• The length of its edges

• The perimeter of its faces

• The area of its base

• The amount of space it occupies

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CCSS.7.G.B.6

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

• Width x Height

• Length x Width

• Length x Width x Height

• Length + Width + Height

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CCSS.7.G.B.6

In the first example, what are the dimensions of the rectangular prism?

• 8cm, 5cm, 3cm

• 3cm, 5cm, 8cm

• 8cm, 3cm, 5cm

• 5cm, 3cm, 8cm

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CCSS.7.G.B.6

What is the volume of the rectangular prism in the first example?

• 60 cm cubed

• 15 cm cubed

• 120 cm cubed

• 24 cm cubed

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CCSS.7.G.B.6

In the second example, what are the dimensions of the rectangular prism?

• 2cm, 3cm, 10cm

• 2cm, 10cm, 3cm

• 3cm, 10cm, 2cm

• 10cm, 2cm, 3cm

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CCSS.7.G.B.6

What is the volume of the rectangular prism in the second example?

• 60 cm cubed

• 120 cm cubed

• 30 cm cubed

• 20 cm cubed

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CCSS.5.MD.C.5A

CCSS.6.G.A.2

What is a key property of multiplication used in calculating volume?

• Identity

• Commutative

• Distributive

• Associative

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CCSS.3.MD.A.2

Why is it important to include units in your volume answer?

• To indicate the shape's color

• To show the shape's weight

• To specify the measurement system

• To clarify the dimension being measured

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CCSS.RF.5.3A

CCSS.RF.5.4B

CCSS.RF.5.4C

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CCSS.RI.7.10

What should you do after learning a new concept?

• Ignore it

• Forget about it

• Keep it to yourself

• Share it with a friend

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CCSS.RF.5.3A

CCSS.RF.5.4A

CCSS.RF.5.4C

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CCSS.RL.6.10