17 A glass pyramid has a height of 4 inches. Its rectangular base has a length of 3 inches and a width of 2.5 inches. Find the volume of gla used to create the pyramid. (Example 5)

To find the volume of the glass pyramid, we can use the formula for the volume of a pyramid: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] Given: - Height of the pyramid = 4 inches - Length of the rectangular base = 3 inches - Width of the rectangular base = 2.5 inches First, we need to find the base area of the pyramid. The base area is the area of the rectangular base, which is given by: \[ \text{Base Area} = \text{Length} \times \text{Width} \] Substitute the given values into the formula to find the base area: \[ \text{Base Area} = 3 \times 2.5 = 7.5 \, \text{inches}^2 \] Now, we can substitute the base area and height into the volume formula to find the volume of the glass pyramid: \[ V = \frac{1}{3} \times 7.5 \times 4 \] Let's calculate the volume. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}\times 7.5\times 4\) - step1: Multiply the terms: \(\frac{5}{2}\times 4\) - step2: Reduce the numbers: \(5\times 2\) - step3: Multiply the numbers: \(10\)