volume of a rectangular prism\nuse the figures below to answer the questions.\nthe shaded portions of the 3d…

volume of a rectangular prism\nuse the figures below to answer the questions.\nthe shaded portions of the 3d figure represent the 2d figure we will use as the parallel bases.\nround your final results to two decimal places as needed.\nfigure a: 3 - dimensional figure\nfigure b: 2 - dimensional view of base\nwhat is the area of the base of the rectangular prism?\nwhat is the distance between the bases of the rectangular prism?\nwhat is the volume of the rectangular prism?\nquestion help: video message instructor

volume of a rectangular prism\nuse the figures below to answer the questions.\nthe shaded portions of the 3d figure represent the 2d figure we will use as the parallel bases.\nround your final results to two decimal places as needed.\nfigure a: 3 - dimensional figure\nfigure b: 2 - dimensional view of base\nwhat is the area of the base of the rectangular prism?\nwhat is the distance between the bases of the rectangular prism?\nwhat is the volume of the rectangular prism?\nquestion help: video message instructor

Answer

Explanation:

Step1: Calculate base area

Count the squares in Figure B. The base is a square with side - length 5 inches (by counting grid squares). The area formula for a square is $A = s^2$, where $s$ is the side - length. So $A=5\times5 = 25$ square inches.

Step2: Identify height

The distance between the bases is given as 10 inches.

Step3: Calculate volume

The volume formula for a rectangular prism is $V=A\times h$, where $A$ is the base area and $h$ is the height. Substitute $A = 25$ square inches and $h = 10$ inches. So $V=25\times10=250$ cubic inches.

Answer:

The area of the base of the rectangular prism is 25 square inches. The distance between the bases of the rectangular prism is 10 inches. The volume of the rectangular prism is 250 cubic inches.