Calculating Volume of Prisms, Cylinders, Pyramids, and Cones

This video tutorial introduces the concept of volume, focusing on prisms, cylinders, pyramids, and cones. It provides formulas for calculating volume based on the shape's characteristics and offers practical examples, including a water tower volume conversion. The tutorial encourages active learning through practice problems and provides resources for further study.

How many times should you watch the video if you don't understand a concept?

• Once

• Twice

• Three to five times

• As many times as needed

What is the formula for the volume of a prism or cylinder?

• Volume = base area + height

• Volume = base area x height

• Volume = (1/3) base area x height

• Volume = 2 x base area x height

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CCSS.7.G.B.6

How does the volume formula differ for a pyramid compared to a prism?

• Volume of a pyramid is 1/3 the base area times the height.

• Volume of a pyramid is twice the base area times the height.

• Volume of a pyramid includes the radius.

• It's the same formula.

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CCSS.HSG.GMD.A.3

What is the volume of a square prism with a base of 6 inches by 6 inches and a height of 12 inches?

• 432 cubic inches

• 72 cubic inches

• 216 cubic inches

• 144 cubic inches

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CCSS.7.G.B.6

How do you calculate the volume of a cone?

• Volume = PI x radius squared x height

• Volume = (1/2) base area x height

• Volume = base area x height

• Volume = (1/3) base area x height

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CCSS.8.G.C.9

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What formula is used to calculate the area of the base for a cone?

• PI x diameter squared

• PI x radius squared

• Base x height

• 1/2 base x height

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CCSS.7.G.B.4

What is the volume of a triangular prism with a base of 5 inches, a height of 4 inches, and a length of 10 inches?

• 20 cubic inches

• 200 cubic inches

• 100 cubic inches

• 50 cubic inches

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CCSS.7.G.B.6

How do you convert cubic feet to gallons?

• Divide by 7.48

• Multiply by 7.48

• Divide by 0.133681

• Multiply by 0.133681

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CCSS.5.MD.A.1

What is the volume formula for a water tower shaped like a cylinder?

• Volume = 2 x base area x height

• Volume = (1/3) base area x height

• Volume = PI x radius squared x height

• Volume = base area x height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the next step after calculating the volume of a shape?

• Measure the shape again

• Download a worksheet and take a quiz

• Calculate the diameter

• Paint the shape

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CCSS.5.MD.C.5B

CCSS.6.G.A.2