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 calculate the volume of a square pyramid, you use the formula:
Volume = (1/3) × base area × height
First, calculate the area of the base, which is a square:
Area of base = (length of one side)^2
Area of base = 3^2
Area of base = 9 square inches
Now, plug the values into the formula:
Volume = (1/3) × 9 in^2 × 5 in
Volume = (1/3) × 45 in^3
Volume = 15 in^3
Therefore, the volume of the crystal perfume bottle is 15 cubic inches.