Volume of Prisms and Cylinders Explained

This video tutorial covers the calculation of volume for various prisms and cylinders. It explains the formulas for rectangular, triangular, and trapezoidal prisms, as well as cylinders, emphasizing the importance of understanding base area and height. The tutorial also includes solving word problems and stresses the need to show all calculation steps.

What is the volume formula for a rectangular prism?

• Volume = length x width x height

• Volume = length + width + height

• Volume = 2(length + width + height)

• Volume = base area x height

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CCSS.7.G.B.6

What does the capital B in the volume formula represent?

• The diameter of the base

• The volume of the base

• The perimeter of the base

• The area of the base

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CCSS.8.G.C.9

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How do you find the base area (B) of a triangular prism?

• B = 0.5 x base x height of the triangle

• B = base x height of the prism

• B = base x height of the triangle

• B = base + height of the triangle

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CCSS.7.G.B.6

In a triangular prism, what does the height refer to?

• The perimeter of the triangle

• The length of the base

• The height of the triangle

• The distance between the two triangular bases

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CCSS.1.G.A.1

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Why is it important to show each step in solving volume problems?

• To ensure accuracy in calculations

• Because the calculator cannot do it

• To avoid using the calculator

• To make it easier to remember the formula

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CCSS.5.MD.C.5B

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What is the formula to calculate the volume of a trapezoidal prism?

• Volume = base area x height of the prism

• Volume = 0.5 x (base1 + base2) x height

• Volume = 0.5 x height x (base1 + base2)

• Volume = (base1 + base2) x height of the prism

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CCSS.7.G.B.6

For a trapezoidal prism, how do you find the area of the base?

• 0.5 x height of the trapezoid x (base1 + base2)

• Height of the prism x (base1 + base2)

• 0.5 x (base1 + base2) x height of the prism

• Base1 x base2 x height of the trapezoid

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CCSS.7.G.B.6

How is the volume of a cylinder calculated?

• Volume = pi x (radius + height)^2

• Volume = pi x radius^2 x height

• Volume = 2pi x radius x height

• Volume = pi x radius x height^2

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CCSS.8.G.C.9

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What is the base shape of a cylinder?

• Square

• Triangle

• Circle

• Trapezoid

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CCSS.7.G.A.3

In the word problem, what are you solving for in the cylinder?

• The height

• The base area

• The volume

• The radius

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CCSS.8.G.C.9

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