Question

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

prism is 2-square units. The area of the base of the red prism is one third that
of the blue prism. Which statement is true?

Answer 1

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

Explanation:

i) Volume of blue prism = (base of blue prism)
`*` (height of blue prism)

ii) base of red prism =
`(1)/(3)`
`*` (base of blue prism)

iii) Volume of red prism = (base of red prism)
`*` (height of red prism)

=
`(1)/(3)`
`*` (base of blue prism)
`*` (height of red prism)

iv) Volume of blue prism = Volume of red prism

∴ (base of blue prism)
`*` (height of blue prism) =
`(1)/(3)`
`*` (base of blue prism)
`*` (height of red prism)

∴height of blue prism =
`(1)/(3)`
`*` (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.