A crystal perfume bottle is in the shape of a square pyramid. The length of one of the sides of the base is 3in and the height the bottle is 5 in. What is the volume of the bottle?
To find the volume of a square pyramid, you can use the formula:
V = (1/3) * area of base * height
First, we need to find the area of the base of the pyramid. Since it is a square pyramid, the base is a square with sides of 3 inches. The area of a square is calculated by squaring the length of one of its sides:
Area of base = 3in * 3in = 9in^2
Now, we can substitute these values into the formula:
V = (1/3) * 9in^2 * 5in
V = (1/3) * 45in^2
V = 15in^2
Therefore, the volume of the crystal perfume bottle is 15 cubic inches.