To calculate the volume of a pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
- First, calculate the area of the base. The base is a rectangle, so the area is:
\[ \text{Base Area} = \text{Length} \times \text{Width} = 8 , \text{inches} \times 12 , \text{inches} = 96 , \text{inches}^2 \]
- Now, plug the base area and the height into the volume formula. The height of the pyramid is 20 inches.
\[ \text{Volume} = \frac{1}{3} \times 96 , \text{inches}^2 \times 20 , \text{inches} \]
- Calculate:
\[ \text{Volume} = \frac{1}{3} \times 1920 , \text{inches}^3 = 640 , \text{inches}^3 \]
Thus, the volume of Cecilia's model pyramid is \(640 , \text{cubic inches}\).