To find the volume of a rectangular pyramid, we use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
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Calculate the Base Area: The base of the pyramid is a rectangle with dimensions 8 mm and 5 mm. \[ \text{Base Area} = \text{length} \times \text{width} = 8, \text{mm} \times 5, \text{mm} = 40, \text{mm}^2 \]
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Height: The height of the pyramid is given as 18 mm.
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Calculate the Volume: \[ \text{Volume} = \frac{1}{3} \times 40, \text{mm}^2 \times 18, \text{mm} \] \[ \text{Volume} = \frac{1}{3} \times 720, \text{mm}^3 = 240, \text{mm}^3 \]
Thus, the volume of the rectangular pyramid is \( 240 , \text{mm}^3 \).