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 onethird of the product of the area of the base and the height.

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.

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 onesided 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 onesided 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 onesided 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 onesided 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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