Exploring Volume of Rectangular Prisms

The video tutorial introduces the concept of volume, focusing on rectangular prisms. It explains how to calculate volume using the product of length, width, and height, and provides examples to illustrate the process. An alternative method using the area of the base is also discussed. The tutorial concludes with a summary and homework instructions.

What does volume measure in a three-dimensional figure?

• The weight

• The amount of space inside

• The perimeter

• The surface area

Why is it important to know the volume of a fish tank?

• To determine how much it weighs

• To figure out how much space it occupies

• To calculate how much water it can hold

• To know how many fish it can accommodate

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CCSS.7.G.B.6

Which formula represents the volume of a rectangular prism?

• V = lwh

• V = l + w + h

• V = lw/h

• V = 2(l + w + h)

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

In the formula V = lwh, what does 'h' represent?

• Height

• Hypotenuse

• Horizontal length

• Heaviness

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CCSS.7.G.B.6

What does the 'B' in the volume formula V = Bh stand for?

• The boundary length of the prism

• The breadth of the prism

• The bulk of the prism

• The base area of the prism

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CCSS.7.G.B.6

How do you calculate the area of the base in a rectangular prism?

• Add all sides of the base

• Multiply the length by the height

• Add the length and the width

• Multiply the length by the width

Tags

CCSS.7.G.B.6

If a rectangular prism has a length of 10 cm, width of 4 cm, and height of 5 cm, what is its volume?

• 100 cubic cm

• 200 cubic cm

• 50 cubic cm

• 20 cubic cm

Tags

CCSS.7.G.B.6

Which of the following is a correct step in calculating the volume of a rectangular prism?

• Multiplying the length by the width, then adding the height

• Dividing the length by the width and then multiplying by the height

• Adding the length, width, and height

• Multiplying the length, width, and height

Tags

CCSS.7.G.B.6

What is the volume of a rectangular prism with a base area (B) of 120 cm² and height (H) of 6 cm?

• 216 cubic cm

• 180 cubic cm

• 126 cubic cm

• 720 cubic cm

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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What units are used to measure the volume of a rectangular prism?

• Kilograms

• Square units

• Linear units

• Cubic units

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4