The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid?

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16-05-2021
Mathematics

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The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid?

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babygirl0382 babygirl0382 · Answer 1 · 2021-05-16T16:37:15+02:00

babygirl0382 babygirl0382

16-05-2021

The volume of the pyramid is a third of the volume of the prism which has the same base area and height as the pyramid. That is,
V = b²h / 3
Substituting the variables given,
V = (s²)(0.5s) / 3
Simplifying,
V = s³/6

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