To find 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 base area. For a pyramid with a rectangular base, the area can be calculated as:
\[ \text{Base Area} = \text{Width} \times \text{Length} \]
Given the width is \(10 , \text{cm}\) and the length is \(7 , \text{cm}\):
\[ \text{Base Area} = 10 , \text{cm} \times 7 , \text{cm} = 70 , \text{cm}^2 \]
Now, plug the values into the volume formula. The height of the pyramid is \(11 , \text{cm}\):
\[ \text{Volume} = \frac{1}{3} \times 70 , \text{cm}^2 \times 11 , \text{cm} \]
Calculating this gives:
\[ \text{Volume} = \frac{1}{3} \times 770 , \text{cm}^3 = \frac{770}{3} , \text{cm}^3 \approx 256.67 , \text{cm}^3 \]
So, the volume of the pyramid is approximately \(256.67 , \text{cm}^3\).