Exploring Volume of Prism Cylinders

The video tutorial covers the concept of volume for prisms and cylinders, explaining the definition of volume and the units used. It provides detailed instructions on calculating the volume of triangular prisms and cylinders using specific formulas. The tutorial includes examples and practice problems to reinforce learning.

What does the term 'volume' refer to in geometric terms?

• The weight of an object

• The length of an object

• The capacity a container can hold

• The surface area of an object

Which units are used to measure volume?

• Kilograms

• Square units

• Linear units

• Cubic units

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What is the formula for the volume of a rectangular prism?

• V = length * width * height

• V = length / width / height

• V = length + width + height

• V = (length + width) * height

Tags

CCSS.7.G.B.6

How do you calculate the volume of a triangular prism?

• V = Base Area / Height

• V = Base Area * Height

• V = (Base Perimeter * Height) / 2

• V = Base Area + Height

Tags

CCSS.7.G.B.6

What is the area formula for a triangle used in the base of a prism?

• base + height

• 1/3 * base * height

• base * height

• 1/2 * base * height

Tags

CCSS.7.G.B.6

What does 'Big B' represent in the formula for the volume of a prism?

• The perimeter of the base

• The diameter of the base

• The area of the base

• The volume of the base

Tags

CCSS.7.G.B.6

What shape are the bases of the cylinder discussed in the tutorial?

• Triangle

• Square

• Circle

• Rectangle

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CCSS.7.G.A.3

What is the formula for the volume of a cylinder?

• V = 2 * pi * radius * height

• V = pi * radius * height

• V = pi * (radius + height)^2

• V = pi * radius^2 * height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How is the height of a cylinder defined in the context of its volume calculation?

• The area of the base

• The circumference of the base

• The radius of the base

• The distance between the two bases

If the radius of a cylinder's base is 3 feet and the height is 10 feet, what is the volume in terms of pi?

• 90 pi cubic feet

• 30 pi cubic feet

• 300 pi cubic feet

• 900 pi cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3