To find the volume of a square pyramid, you can use the formula:
\[ V = \frac{1}{3} \times B \times h \]
where \(V\) is the volume, \(B\) is the area of the base, and \(h\) is the height of the pyramid.
- Calculate the area of the base \(B\): Since the base is a square with a side length of 3 inches, the area is:
\[ B = \text{side}^2 = 3 \times 3 = 9 , \text{in}^2 \]
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Use the height \(h\): The height of the bottle is 5 inches.
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Plug the values into the volume formula:
\[ V = \frac{1}{3} \times 9 , \text{in}^2 \times 5 , \text{in} \]
\[ V = \frac{1}{3} \times 45 , \text{in}^3 \]
\[ V = 15 , \text{in}^3 \]
Thus, the volume of the bottle is \(15 , \text{in}^3\).