A crystal perfume bottle is in the shape of a square pyramid. The length of one of the sides of the base is 3 in., and the height of the bottle is 5 in. What is the volume of the bottle?
To find the volume of a square pyramid, we use the formula:
V = (1/3) * base area * height
First, we need to find the area of the base of the square pyramid. Since the base is a square, the area would be the length of one side squared:
Base area = (3 in.)^2 = 9 in.^2
Now we can plug in the values into the formula:
V = (1/3) * 9 in.^2 * 5 in.
V = (1/3) * 45 in.^3
V = 15 in.^3
Therefore, the volume of the crystal perfume bottle is 15 cubic inches.