Question

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

is 4 1/8 square units. The area of the base of the red prism is one-half that of the blue
prism. Which statement is true?
CLEAR
CHECK
A.The height of the red prism is four times the height of the
blue prism.
B.The height of the red prism is two times the height of the
blue prism.
C.The height of the red prism is one-half the height of the
blue prism.
D.The height of the red prism is the same as the height of
the blue prism.​

Answer 1

The height of the red prism must be twice the height of the blue prism.

Volume of a prism can be calculated as the area of the base multiplied by the height. Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.