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 can be calculated as:
\[ \text{Base Area} = \text{Length} \times \text{Width} \]
Given the measurements:
- Length = 10 cm
- Width = 18 cm
- Height = 12 cm
First, calculate the base area:
\[ \text{Base Area} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]
Now, substitute the base area and height into the volume formula:
\[ V = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} \]
Calculating this gives:
\[ V = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]
Therefore, the volume of the pyramid is \( 720 , \text{cm}^3 \).
So, the correct response is:
720 cm³
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