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, you can use the formula:
V = (1/3) * base area * height
First, calculate the base area of the square pyramid:
Area of a square = side * side
Area of the base = 3 in. * 3 in. = 9 in^2
Now, 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.