Crystal perfume bottle is the shape of a square pyramid. The length one of the sides of the base is 3 inches and the height of the bottle is 5 inches. What is the volume of the bottle
To find the volume of a square pyramid, you can use the formula:
\( V = \frac{1}{3} \times \text{base area} \times \text{height} \)
First, calculate the area of the base of the square pyramid:
\( \text{Base area} = (\text{side length})^2 = 3 \text{in} \times 3 \text{in} = 9 \text{in}^2 \)
Now, plug in the values for the base area and height into the formula:
\( V = \frac{1}{3} \times 9 \text{in}^2 \times 5 \text{in} \)
\( V = \frac{1}{3} \times 45 \text{in}^2 \)
\( V = 15 \text{in}^3 \)
Therefore, the volume of the crystal perfume bottle is 15 cubic inches.