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Understanding Dimensions: 1D, 2D, 3D for Area & Volume Measurements

Learn the differences between 1D, 2D, and 3D dimensions for area and volume calculations. Discover how length, width, and height play a role in determining the space filled by an object. Find out how to measure solids, liquids, and gases with suitable units.

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Understanding Dimensions: 1D, 2D, 3D for Area & Volume Measurements

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  1. Volume Introduction Put your name on your paper!

  2. What are the differences between these three things? (Describe what information each provides) 1D • Length • 1 dimension • Single unit 2D • Length & Width • 2 dimensions • Multiply to get Area • Squared units 3D • Length, Width & Height • 3 dimensions • Multiply to get Volume • Cubed units

  3. Area Volume (Area * h) Includes “length &width” type measurements Answer needs units L*w*h=VR ½ b*h*L= VT r2* h=VC L*w=AR ½ b*h= AT r2=AC Flat, the surface of a shape 3D, the space the shape fills

  4. 1. Is it possible to measure the volume of a solid object? If so, give an example of the units. 2. Is it possible to find the volume of a liquid substance? If so, give an example of the units. 3. Is it possible to find the volume of a gas or vapor? If so, give an example of the units. 4. What does the word “fluid” mean in science?

  5. Yes, cm3 or ft3 1. Is it possible to measure the volume of a solid object? If so, give an example of the units. 2. Is it possible to find the volume of a liquid substance? If so, give an example of the units. 3. Is it possible to find the volume of a gas (vapor)? If so, give an example of the units. 4. What does the word “fluid” mean in science? Yes, mL is common or fl.oz. Yes, cubic centimeters or cubic feet are common Fluid is a state of matter that flows. Liquids & gases are both fluids.

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