QUESTION IMAGE
Question
volume of a rectangular prism
use the figures below to answer the questions.
the shaded portions of the 3d figure represent the 2d figure we will use as the parallel bases.
round your final results to two decimal places as needed.
figure a: 3 - dimensional figure
figure b: 2 - dimensional view of base
what is the area of the base of the rectangular prism? select an answer
what is the distance between the bases of the rectangular prism? select an answer
what is the volume of the rectangular prism? select an answer
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Step1: Find area of base
Count the number of unit - squares in Figure B. The base is a square with side length 4 units (by counting the grid lines). The area formula for a square is $A = s^2$, where $s$ is the side - length. So $A=4\times4 = 16$ square inches.
Step2: Determine distance between bases
The distance between the bases of the rectangular prism is given as 10 inches in Figure A.
Step3: Calculate volume of prism
The volume formula for a rectangular prism is $V=Bh$, where $B$ is the area of the base and $h$ is the height (distance between bases). Substitute $B = 16$ square inches and $h = 10$ inches into the formula. So $V=16\times10=160.00$ cubic inches.
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What is the area of the base of the rectangular prism? 16.00 square inches
What is the distance between the bases of the rectangular prism? 10.00 inches
What is the volume of the rectangular prism? 160.00 cubic inches