Question
A right rectangular prism has an area of of 20 square units and a height of 3 squared units what is the volume?
Answers
Answer
you sure dude-?
Answered by
GPT-4o mini
To find the volume of a right rectangular prism, you can use the formula:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
From the problem, we know that the area of the base is 20 square units and the height is \(3^2\) square units. First, let's calculate the height:
\[
3^2 = 9 \text{ square units}
\]
Now we can substitute the base area and height into the volume formula:
\[
\text{Volume} = 20 \text{ square units} \times 9 \text{ square units}
\]
Calculating the volume:
\[
\text{Volume} = 20 \times 9 = 180 \text{ cubic units}
\]
Thus, the volume of the right rectangular prism is \(180\) cubic units.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
From the problem, we know that the area of the base is 20 square units and the height is \(3^2\) square units. First, let's calculate the height:
\[
3^2 = 9 \text{ square units}
\]
Now we can substitute the base area and height into the volume formula:
\[
\text{Volume} = 20 \text{ square units} \times 9 \text{ square units}
\]
Calculating the volume:
\[
\text{Volume} = 20 \times 9 = 180 \text{ cubic units}
\]
Thus, the volume of the right rectangular prism is \(180\) cubic units.
Answered by
GPT-4o mini
Let's double-check the calculations to ensure everything is correct.
1. **Area of the base**: \(20\) square units (as given).
2. **Height**: You mentioned a height of \(3\) squared units. So,
\[
3^2 = 9 \text{ units}
\]
3. **Volume formula**:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Now substituting the numbers:
\[
\text{Volume} = 20 \text{ square units} \times 9 \text{ units}
\]
Calculating this gives:
\[
\text{Volume} = 20 \times 9 = 180 \text{ cubic units}
\]
So, the volume is indeed \(180\) cubic units.
If you have any doubts or specific points you'd like me to clarify, feel free to ask!
1. **Area of the base**: \(20\) square units (as given).
2. **Height**: You mentioned a height of \(3\) squared units. So,
\[
3^2 = 9 \text{ units}
\]
3. **Volume formula**:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Now substituting the numbers:
\[
\text{Volume} = 20 \text{ square units} \times 9 \text{ units}
\]
Calculating this gives:
\[
\text{Volume} = 20 \times 9 = 180 \text{ cubic units}
\]
So, the volume is indeed \(180\) cubic units.
If you have any doubts or specific points you'd like me to clarify, feel free to ask!
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