Comparing the Volume of Prisms and Pyramids

Use the first slider to change the side length to 6 and use the second slider to change the height to 4.
1) What is the volume of the rectangular prism?[br]2) What is the volume of the rectangular pyramid?[br]3) What fractional part is the volume of the pyramid compared to the volume of the prism?
Use the first slider to change the side length to 5 and use the second slider to change the height to 3.
1) What is the volume of the rectangular prism?[br]2) What is the volume of the rectangular pyramid?[br]3) What fractional part is the volume of the pyramid compared to the volume of the prism?
The formula for the Volume of a Prism is V = Bh, where B is the area of the base.
If the formula for the Volume of a Prism is V = Bh, where B is the area of the base, then what is the formula used to find the volume of a Pyramid?
Figure 1.
Figure 2.
Figure 3.
Figure 4. Find the Volume of the Regular Hexagonal Pyramid. Remember to calculate the area of a regular polygon using the formula A = 1/2aP. This problem is challenging!
Volume Answers to Figures 1 through 4.
The Volume of Figure 1 is ________________[math]ft^3[/math].[br]The Volume of Figure 2 is ________________[math]cm^3[/math].[br]The Volume of Figure 3 is ________________[math]in^3[/math].[br]The Volume of Figure 4 is ________________[math]ft^3[/math].
Video from Khan Academy on finding the area of a regular polygon
Video of finding the volume of a pyramid.
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