QQuestionMathematics
QuestionMathematics
Explain how you would find the base area of a rectangular prism if you know the volume and the height.
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Given Information
To find the base area of a rectangular prism, we need to use the volume formula and the given height. The volume of a rectangular prism is calculated by multiplying the base area by the height.
Step 3:: Recall the Volume Formula
- $$h$$ is the height
The volume formula for a rectangular prism is: Where:
Step 4:: Rearrange the Formula to Solve for Base Area
A_{base} = \frac{V}{h}
Rearranging the volume formula to solve for base area:
Step 5:: Plug in the Known Values
To find the base area, you would:
Step 6:
Take the total volume
Step 7:
A_{base} = \frac{24 \text{ m}^{3}}{4 \text{ m}} = 6 \text{ m}^{2}
Divide by the height Example Calculation:
Final Answer
To find the base area of a rectangular prism, divide the total volume by the height: A_{base} = \frac{V}{h}
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