The two rectangular prisms shown have bases with the same area. Which statement is true?

This question is incomplete and it lacks the diagram of the rectangular prisms.

Please find attached to the answer the picture showing the diagrams of the rectangular prisms.

Complete Question

The two rectangular prisms shown have bases with the same area. Which statement is true?

A. The volume of prism Z is 4 times the volume of prism Y, and the figures are similar.

B. The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar.

C. The volume of prism Z is 64 times the volume of prism Y, and the figures are similar.

D. The volume of prism Z is 64 times the volume of prism Y, but the figures are not similar.

B. The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar.

Step-by-step explanation:

From the attached diagram, we can see that, Prism Y and Prism Z are not similar due to their different shapes

From the diagram as well, we are given the height of one of the sides of the prisms.

The height of Y=6 cm. The height of Z=24cm.

Volume of a rectangular prism = Length × Width × Height = LWH

For prism Y = 6LW

For prism Z = 24 LW

Comparing the two prism with one another

24 LW: 6LW = 24LW/6LW

= 4

We can conclude that The volume of prism Z is 4 times the volume of prism Y.

Hence, Option B. "The volume of prism Z is 4 times the volume of prism Y, but the figures are not similar." is the correct option.

three-fourths of an hour

36÷48=0.75

0.75=