A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What statement must be true about the two solids?

Question

asked Aug 28, 2019 22.3k views

1 Answer

Jstedfast · Answer 1 · 2019-09-02T10:02:46+0000

The volume of right rectangular prism is

$V_(rect)=A_(rectangle)\cdot H.$

The volume of an oblique triangular prism is

$V_(tr)=(1)/(3)\cdot A_(triangle) \cdot H.$

Since the height and the volume are the same, then

$A_(rectangle)=(1)/(3)\cdot A_(triangle) \text{ or } A_(triangle)=3A_(rectangle).$

Answer: statement that the area of triangle is three times the area of rectangle must be true.