Calculating Areas and Volumes

The video tutorial from MooMooMath explains how to calculate the volume of prisms and cylinders. It begins with an introduction to the volume formula, which is the base area multiplied by the height. The tutorial then demonstrates how to find the volume of a rectangular prism by identifying the base as a rectangle, calculating its area, and multiplying by the height. Next, it covers the volume of a triangular prism, using the formula for the area of a triangle. Finally, the video explains how to calculate the volume of a cylinder, using the formula for the area of a circle as the base. Each section provides step-by-step instructions and examples.

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

• Volume = base area + height

• Volume = base area - height

• Volume = base area x height

• Volume = base area / height

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CCSS.7.G.B.6

How do you determine the base area of a rectangular prism?

• Multiply the length by the width

• Multiply the length by the height

• Subtract the width from the length

• Add the length and the width

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CCSS.7.G.B.6

If the base area of a rectangular prism is 24 cm² and the height is 5 cm, what is the volume?

• 120 cm³

• 24 cm³

• 5 cm³

• 29 cm³

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CCSS.7.G.A.3

What shape is the base of a triangular prism?

• Triangle

• Square

• Circle

• Rectangle

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CCSS.6.G.A.1

How do you calculate the area of a triangle?

• Base - Height

• Base + Height

• 1/2 x Base x Height

• Base x Height

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CCSS.6.G.A.1

If a triangular base has a base of 4 cm and a height of 6 cm, what is its area?

• 24 cm²

• 12 cm²

• 10 cm²

• 8 cm²

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CCSS.7.G.A.3

What is the base shape of a cylinder?

• Triangle

• Rectangle

• Square

• Circle

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CCSS.7.G.B.4

How do you calculate the base area of a cylinder?

• pi x radius²

• pi x diameter

• pi x radius x height

• pi x radius

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CCSS.7.G.B.4

If the radius of a cylinder is 3 cm, what is the base area in terms of pi?

• 6pi

• 9pi

• 12pi

• 3pi

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a base area of 9pi and a height of 7 cm?

• 81pi cm³

• 54pi cm³

• 72pi cm³

• 63pi cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3