What is the volume of the pyramid? 11cm height 7cm width 10cm length(1 point)

____ cm^3

1 answer

The volume \( V \) of a pyramid can be calculated using the formula:

\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

For a rectangular base, the base area \( A \) is calculated as:

\[ A = \text{Width} \times \text{Length} = 7 , \text{cm} \times 10 , \text{cm} = 70 , \text{cm}^2 \]

Now we can find the volume using the height of the pyramid:

\[ V = \frac{1}{3} \times 70 , \text{cm}^2 \times 11 , \text{cm} = \frac{770}{3} , \text{cm}^3 \approx 256.67 , \text{cm}^3 \]

Thus, the volume of the pyramid is approximately \( 256.67 , \text{cm}^3 \).

If you need the volume in a specific form:

\[ V = \frac{770}{3} , \text{cm}^3 \text{ or } 256.67 , \text{cm}^3 \]