To find the volume \( V \) of a square pyramid, you can use the formula:
\[ V = \frac{1}{3} \times B \times h \]
where \( B \) is the area of the base, and \( h \) is the height of the pyramid.
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Calculate the area of the base \( B \): The base is a square with side length \( s = 3 \) inches. The area \( B \) of the square base is given by:
\[ B = s^2 = 3^2 = 9 \text{ in}^2 \]
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Use the height \( h \): The height of the pyramid is given as \( h = 5 \) inches.
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Calculate the volume \( V \): Now plug the values into the volume formula:
\[ V = \frac{1}{3} \times B \times h = \frac{1}{3} \times 9 \text{ in}^2 \times 5 \text{ in} \]
\[ V = \frac{1}{3} \times 45 \text{ in}^3 \]
\[ V = 15 \text{ in}^3 \]
Thus, the volume of the crystal perfume bottle is \( \boxed{15} \) in³.