Answer:
d) the height of red prism is three times the height of the blue prism.
Step-by-step explanation:
i) the volume of a rectangular prism is given by area of base height.
ii) volume of the blue prism is = (base of blue prism) (height of blue prism)
iii) volume of red prism is = (base of red prism) ( height of the red prism)
= ( base of blue prism) ( height of red prism)
iv) it is also given that
volume of blue prism = volume of red prism
⇒ (base of blue prism) (height of blue prism) = (base of red prism) (height of red prism)
⇒(base of blue prism) (height of blue prism) = ( base of blue prism) (height of red prism)
⇒ (height of blue prism) = (height of red prism)
∴ height of red prism = 3 height of blue prism
Therefore the correct option is
d) the height of red prism is three times the height of the blue prism.