Exploring Volume 6th Concepts

The video tutorial covers the concept of volume for prisms and cubes, starting with basic counting methods used in elementary school. It introduces the formula for volume as length times width times height and explains different ways to express this formula. The tutorial provides examples of calculating volume with given dimensions and discusses how to find volume without visual aids. It emphasizes understanding the formula and applying it to various problems.

How many cubes are in one layer if each row contains 7 cubes and there are 3 rows?

• 28 cubes

• 10 cubes

• 21 cubes

• 14 cubes

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CCSS.6.G.A.2

CCSS.5.MD.C.5A

What is the volume of a prism with 2 layers, each containing 21 cubes?

• 84 cubic inches

• 21 cubic inches

• 42 cubic inches

• 63 cubic inches

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Which formula represents the calculation of volume?

• Length - Width - Height

• Length / Width / Height

• Length x Width x Height

• Length + Width + Height

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

If a prism's dimensions are 16 inches by 3 inches by 9 inches, what is its volume?

• 432 cubic inches

• 144 cubic inches

• 528 cubic inches

• 289 cubic inches

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CCSS.7.G.B.6

What does 'big base' refer to in the context of calculating volume?

• Length x Width

• Height of the prism

• Width x Height

• Length x Height

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CCSS.7.G.B.6

Calculate the volume for a prism with dimensions 15 inches by 12 inches by 17 inches.

• 3500 cubic inches

• 2040 cubic inches

• 2550 cubic inches

• 3060 cubic inches

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CCSS.7.G.B.6

What is the volume of a cube with each side measuring 10 yards?

• 30 cubic yards

• 1000 cubic yards

• 300 cubic yards

• 100 cubic yards

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CCSS.6.G.A.2

CCSS.5.MD.C.5B

Using the big base method, calculate the volume if the base is 77 square inches and height is 12 inches.

• 924 cubic inches

• 154 cubic inches

• 889 cubic inches

• 935 cubic inches

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CCSS.7.G.B.6

If a rectangular prism has dimensions of 18 inches, 10 inches, and 15 inches, what is its volume?

• 1800 cubic inches

• 3000 cubic inches

• 1500 cubic inches

• 2700 cubic inches

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CCSS.7.G.B.6

What is the correct volume calculation for a prism with dimensions 15 feet by 4 feet by 17 feet?

• 1020 cubic feet

• 850 cubic feet

• 1360 cubic feet

• 680 cubic feet

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CCSS.7.G.B.6