Question

Please hurry and answer i am stuck on this question

Answer 1

Volume of prism = Area of cross-section × height

Volume of blue prism = ($4 \frac{1}{8}$)×($h_B$

Volume of red prism  = $( \frac{1}{2})(4 \frac{1}{8})$×$(h_R)$

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

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

Correct option: B