Volume and Surface Area Concepts

This video tutorial covers geometry topics for grade 8, focusing on three-dimensional shapes. It explains the formulas for calculating the surface area and volume of cubes, rectangular prisms, prisms, and pyramids. Additionally, it discusses the concepts of diagonal lines and planes in geometry, providing examples and practice problems to enhance understanding.

What is the formula for the surface area of a cube?

• 12 times the area of one face

• 8 times the area of one face

• 6 times the area of one face

• 4 times the area of one face

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CCSS.6.G.A.4

If a cube has a side length of 2 cm, what is its surface area?

• 32 cm²

• 8 cm²

• 24 cm²

• 16 cm²

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

How do you calculate the volume of a cube?

• Side length squared

• Side length multiplied by 4

• Side length cubed

• Side length multiplied by 6

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the volume of a cube with a side length of 10 cm?

• 100 cm³

• 500 cm³

• 1000 cm³

• 1500 cm³

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CCSS.7.G.B.6

Which of the following is part of the formula for the surface area of a rectangular prism?

• Length times width

• Length times height

• Width times height

• All of the above

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CCSS.7.G.B.6

How do you calculate the volume of a rectangular prism?

• Length plus width times height

• Length times width times height

• Length plus width plus height

• Length times width plus height

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CCSS.7.G.B.6

What is the formula for the surface area of a prism?

• Perimeter times height

• 2 times the base area plus perimeter times height

• Base area plus height

• Base area times height

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CCSS.1.G.A.1

CCSS.2.G.A.1

Which shape is not a type of prism?

• Hexagonal prism

• Circular prism

• Rectangular prism

• Triangular prism

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CCSS.HSG.GMD.A.3

What is the formula for the volume of a pyramid?

• Base area times height

• Base area times height divided by 4

• Base area times height divided by 2

• Base area times height divided by 3

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CCSS.HSG.GMD.A.3

If a pyramid has a square base with a side length of 10 cm and a height of 12 cm, what is its volume?

• 200 cm³

• 400 cm³

• 800 cm³

• 1200 cm³

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CCSS.HSG.GMD.A.3