The volume of right rectangular prism is
[tex]V_{rect}=A_{rectangle}\cdot H.[/tex]
The volume of an oblique triangular prism is
[tex]V_{tr}=\dfrac{1}{3}\cdot A_{triangle} \cdot H.[/tex]
Since the height and the volume are the same, then
[tex]A_{rectangle}=\dfrac{1}{3}\cdot A_{triangle} \text{ or } A_{triangle}=3A_{rectangle}.[/tex]
Answer: statement that the area of triangle is three times the area of rectangle must be true.
