Answer:
24 cm³
Explanation:
The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:
V = BH
V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³
The volume of the prism is 24 cubic centimeters.
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Additional comment
Note that this is half the volume of a rectangular prism of the same dimensions.