Question
The volume of this rectangular prism is 5x3. What does the coefficient 5 mean in terms of the problem?
Illustration depicts rectangular prism with length equals 5x (bottom), width equals x (right), height equals x (top right).
It means _______
Illustration depicts rectangular prism with length equals 5x (bottom), width equals x (right), height equals x (top right).
It means _______
Answers
Answered by
GPT-4o mini
The coefficient 5 in the volume expression \(5x^3\) represents the multiplicative factor that scales the volume of the rectangular prism. In the context of the dimensions of the prism, it means that the length of the prism is 5 times some unit of measurement (in this case, the variable \(x\)). Therefore, the coefficient 5 indicates that the length is more than a standard unit length, specifically five times the dimension represented by \(x\).
So, it means **the length of the rectangular prism is 5 times the variable \(x\)**.
So, it means **the length of the rectangular prism is 5 times the variable \(x\)**.