Two rectangular prisms have the same volume. the area of the base of the blue prism is 418 square units. the area of the

its 2 times the amount of the blue prism.

Volume of prism = Area of cross-section × height

Volume of blue prism = ([tex]4 \frac{1}{8}[/tex])×([tex]h_B[/tex]

Volume of red prism  = [tex]( \frac{1}{2})(4 \frac{1}{8})[/tex]×[tex](h_R)[/tex]

[tex]V_{blue}:V_{red}[/tex]
[tex](4 \frac{1}{8})(h_B):( \frac{33}{16})(h_R)[/tex]
[tex]\frac{33}{8}h_B: \frac{33}{16}h_R[/tex]
[tex]\frac{66}{16}h_B: \frac{33}{16}h_R[/tex]
[tex]66h_B:33h_R[/tex]
[tex]66h_B = 33h_R[/tex]
[tex]\frac{66}{33}= \frac{h_R}{h_B}[/tex]
[tex]\frac{2}{1}= \frac{h_R}{h_B}[/tex] 
[tex]2:1=h_R:h_B[/tex]

The height of red prism is twice the height of the blue prism

Correct option: B