The volume \( V \) of a pyramid can be calculated using the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
First, we need to calculate the area of the base. The base is a rectangle with dimensions 90 yards by 120 yards.
\[ \text{Base Area} = \text{length} \times \text{width} = 90 , \text{yd} \times 120 , \text{yd} = 10800 , \text{yd}^2 \]
Next, we will use the height of the pyramid, which is given as 90 yards.
Now we can substitute the base area and height into the volume formula:
\[ V = \frac{1}{3} \times 10800 , \text{yd}^2 \times 90 , \text{yd} \]
Calculating the product inside the parentheses:
\[ 10800 \times 90 = 972000 , \text{yd}^3 \]
Now, we complete the volume calculation:
\[ V = \frac{1}{3} \times 972000 , \text{yd}^3 = 324000 , \text{yd}^3 \]
Therefore, the volume of the stone pyramid is:
\[ \boxed{324000} , \text{yd}^3 \]
1 answer