Question
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?(1 point)
The volume of a square pyramid is given by the formula V = 1/3 * base area * height.
First, let's find the base area of the square pyramid:
The area of a square is given by the formula A = side^2. In this case, the side length is 3 in, so the base area is A = 3^2 = 9 in^2.
Now, we can calculate the volume of the square pyramid:
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.