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Question
what is the volume of the prism? 60 cubic centimeters 55 cubic centimeters 48 cubic centimeters 16 cubic centimeters
Step1: Count the number of unit - cubes
We can count the unit - cubes that make up the prism. The prism can be thought of as composed of smaller 1 - cm×1 - cm×1 - cm unit cubes. By counting, we find that there are 48 unit cubes.
Step2: Calculate the volume
The volume of a single unit cube is $V_{unit}=1\times1\times1 = 1$ cubic centimeter. The volume of the prism $V$ is equal to the number of unit cubes times the volume of a single unit cube. Since there are 48 unit cubes and $V_{unit}=1$ $cm^{3}$, the volume of the prism $V = 48\times1=48$ cubic centimeters.
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48 cubic centimeters