Answer:
Sometimes
Step-by-step explanation:
If the volumes of two triangular prisms are the same, that means that:
[tex]\frac{1}{3} B_1h_1=\frac{1}{3} B_2h_2[/tex] , where B_1 and h_1 belong to one prism and B_2 and h_2 belong to the second.
It is possible that if the volumes are the same, the prisms are congruent. That means that B_1 = B_2 and h_1 = h_2. However, this isn't always the case. Here's a counterexample:
PRISM 1: B = 4, h = 3 ⇒ V = (1/3) * 4 * 3 = 4
PRISM 2: B = 2, h = 6 ⇒ V = (1/3) * 2 * 6 = 4
Their volumes are the same, but their dimensions certainly aren't. So this statement is true only sometimes.
Hope this helps!
Answer:
Sometimes true
Step-by-step explanation:
Volume = ⅓(base area × height)
The product 'base area × height' can be equal if the base and height are congruent, but there are other possibilities too
Example:
Base area of the second one is double but the height is half.
