Question

PLEASE HELP

The cross section of rectangular prism A measured 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 3.51 units, which statement is true?

Answer 1

`Volume \ A =Volume \ B`

Explanation:

The complete question is attached.

Let's find each volume to find the right answer.

Rectangular prism.

The cross section is 3 units by 2 units, and its length is 3.51. Using these values, we find the volume

`V_(rectangular)=3 * 2 * 3.51 = 21.06 u^(3)`

Triangular prism.

The cross section is 4 units base and 3 units height (triangle). Its length is 3.51. Using these values, we find the volume

`V_(triangular)=(1)/(2) * 4 * 3 * 3.51 = 21.06 u^(3)`

Therefore, as you can observe, both volumes are equal. So, the right answer is D.