Question

use the clues to determine the volume of the figure in cubic inches. clues - the volume of prism b is 2 times the volume of prism a. - the volume of prism a is 120 cubic inches. show or explain your thinking. answer: i can... use known information to determine the volume of a solid figure.

Explanation:

Step1: Identify volume of Prism A

The volume of Prism A is given as 120 cubic - inches, so $V_A = 120$ cubic - inches.

Step2: Calculate volume of Prism B

Since the volume of Prism B is 2 times the volume of Prism A, we use the formula $V_B=2\times V_A$. Substituting $V_A = 120$ into the formula, we get $V_B = 2\times120=240$ cubic - inches.

Step3: Calculate total volume of the figure

The total volume $V$ of the figure is the sum of the volumes of Prism A and Prism B, so $V=V_A + V_B$. Substituting $V_A = 120$ and $V_B = 240$ into the formula, we have $V=120 + 240=360$ cubic - inches.

Answer:

360 cubic inches