Answer:
I) B = 20 m², h = 4 m are NOT possible dimensions for the area of the base and the height of the prism.
Step-by-step explanation:
Given that the triangular prism has a volume = 240 m³, we can use the formula for the volume of a triangular prism to check the given answers for possible dimensions. V = Bh, where B = the area of the base and h = height of the prism. In this case, we simply need to multiply each of the given dimensions together to see if they equal 240 m³:
F) B = 48 m², h = 5 m: v = 48 x 5 = 240 m³ (possible)
G) B = 24 m², h = 10 m; v = 24 x 10 = 240 m³ (possible)
H) B = 12 m², h = 20 m: v = 12 x 24 = 240 m³ (possible)
I) B = 20 m², h = 4 m: v = 20 x 4 = 80 m³ (NOT possible)
