The base of a triangular pyramid is a triangle with corners at #(2 ,2 )#, #(3 ,1 )#, and #(7 ,3 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?
Volume of a pyramid is
cubic.unit [Ans]
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To find the volume of the triangular pyramid, we first need to calculate the area of its base triangle. Then, we can use the formula for the volume of a pyramid, which is one-third of the product of the area of the base and the height.
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Calculate the area of the base triangle using the coordinates of its vertices. You can use the formula for the area of a triangle given its vertices.
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Once you have the area of the base triangle, which we'll denote as (A_{\text{base}}), and the height of the pyramid, which is given as 6 units, you can use the volume formula for a pyramid:
[ V = \frac{1}{3} \times A_{\text{base}} \times \text{height} ]
Substitute the values you found for (A_{\text{base}}) and the height of the pyramid into this formula, and then calculate the result to find the volume of the pyramid.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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