Calculating Volume and Surface Area of 3D Shapes

The video tutorial explains the concepts of volume and surface area for three-dimensional shapes. It begins with a definition of volume as the number of cubic units needed to fill a solid and surface area as the number of square units required to cover the surface of a solid. The tutorial then provides a detailed example of calculating the volume and surface area of a rectangular prism, using specific dimensions to demonstrate the process. The video emphasizes the importance of understanding these concepts for different shapes and provides step-by-step calculations for both volume and surface area.

What does volume measure in a three-dimensional object?

• The number of square units covering the surface

• The weight of the object

• The number of cubic units inside the object

• The length of the object in one dimension

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

What units are used to express the volume of a three-dimensional object?

• Square units

• Cubic units

• Linear units

• Kilograms

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

How do you calculate the volume of a rectangular prism?

• Length x Width x Height

• Length - Width - Height

• Length + Width + Height

• Length / Width / Height

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CCSS.7.G.B.6

What is the formula to find the area of the base of a rectangular prism?

• Length x Width

• Length + Width

• Length - Width

• Length / Width

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CCSS.7.G.B.6

What is the volume of a rectangular prism with dimensions 4 cm, 12 cm, and 8 cm?

• 256 cubic cm

• 192 cubic cm

• 96 cubic cm

• 384 cubic cm

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CCSS.7.G.B.6

What is the surface area of a shape?

• The maximum area of a single face of the shape

• The product of the areas of all the faces of the shape

• The minimum area of a single face of the shape

• The sum of the areas of all the faces of the shape

How many faces are calculated for the surface area of the given rectangular prism?

• Eight faces

• Six faces

• Four faces

• Two faces

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CCSS.7.G.B.6

What is the area of one side of the rectangular prism if the dimensions are 12 cm by 8 cm?

• 20 square cm

• 96 square cm

• 104 square cm

• 120 square cm

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CCSS.7.G.B.6

If the top and bottom faces of the rectangular prism are 12 cm by 4 cm, what is their combined area?

• 48 square cm

• 96 square cm

• 192 square cm

• 384 square cm

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CCSS.7.G.B.6

What is the total surface area of the rectangular prism if the areas of the faces are 96, 64, and 192 square cm?

• 352 square cm

• 452 square cm

• 352 square cm

• 252 square cm

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CCSS.7.G.B.6