Question

Two rectangular prisms have the same volume. The area of the base of the blue

Answer 1

Answer:

Therefore the true statement is that the height of the red prism is three times the height of the  blue prism.

Step-by-step explanation:

i) Volume of blue prism = (base of blue prism) $\times$ (height of blue prism)

ii) base of red prism  = $\frac{1}{3}$ $\times$ (base of blue prism)

iii) Volume of red prism = (base of red prism) $\times$ (height of red prism)

                  = $\frac{1}{3}$ $\times$ (base of blue prism) $\times$ (height of red prism)

iv)  Volume of blue prism = Volume of red prism

   ∴  (base of blue prism) $\times$ (height of blue prism) =  $\frac{1}{3}$ $\times$ (base of blue prism) $\times$ (height of red prism)

∴height of blue prism =   $\frac{1}{3}$ $\times$  (height of red prism)

Therefore the true statement is that the height of the red prism is three times the height of the  blue prism.