The cross section of rectangular prism a measures 3 units by 2 units. the cross section of triangular prism b has a base that measures 4 units and a height of 3 units. if the length of each prism is 3.61 units, which statement is true?
volume a = 1/2 (volume b)
volume a = 2 (volume b)
volume a = 1/3 (volume b)
volume a = volume b
i think its the first one but i want to make sure, : ) ty

D

Step-by-step explanation:

Definitely D

  Volume A = Volume B

Step-by-step explanation:

The lengths of the two prisms are the same, so their volumes will be proportional to their end area (cross section).

For the rectangular prism, that area is ...

  A = LW = (3 units)(2 units) = 6 units²

For the triangular prism, that area is ...

  A = (1/2)bh = (1/2)(4 units)(3 units) = 6 units²

The two prisms have the same end area, so ...

  Volume A = Volume B

a

step-by-step explanation: