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 area is given by:
\[ \text{Base Area} = \text{length} \times \text{width} \]
In this case, the base dimensions are 6 inches and 4 inches:
\[ \text{Base Area} = 6 , \text{inches} \times 4 , \text{inches} = 24 , \text{square inches} \]
The height of the pyramid is 8 inches. Now we can calculate the volume:
\[ V = \frac{1}{3} \times 24 , \text{square inches} \times 8 , \text{inches} \] \[ V = \frac{1}{3} \times 192 , \text{cubic inches} \] \[ V = 64 , \text{cubic inches} \]
Therefore, the volume of the pyramid is \( 64 \) cubic inches. The correct response is:
64 cubic inches
2 answers