Question
The volume of a right rectangular prism can be found by finding the product 3(6)(12). Which expression could also be used to determine the volume of this prism?
36(6)
2(3 + 12 + 6)
4(3)(12)
12 + 6 + 3
36(6)
2(3 + 12 + 6)
4(3)(12)
12 + 6 + 3
Answers
GPT-4o mini
The volume of a right rectangular prism is determined by the product of its length, width, and height. In this case, the volume is calculated as \( 3 \times 6 \times 12 \).
To find another expression that can determine the volume, we need to analyze the given options:
1. **36(6)**: This equals \( 36 \times 6 = 216 \), but \( 3 \times 6 \times 12 = 216 \). This is not a proper representation of the dimensions.
2. **2(3 + 12 + 6)**: This represents multiplying 2 by the sum of the dimensions, which equals \( 2 \times 21 = 42\). This does not represent the volume accurately.
3. **4(3)(12)**: This also does not equate to the volume \( 3 \times 6 \times 12\) accurately.
4. **12 + 6 + 3**: This simply adds the dimensions, which is \( 12 + 6 + 3 = 21\). This doesn't represent volume.
The correct choice should reflect the same product of dimensions. However, outside of the options given, these expressions do not equivalently represent the volume of the prism.
If we expand our view, we do notice that you could rearrange \( 3(6)(12)\) as \( (3 \times 6) \times 12 = 18 \times 12 \), but none of the choices represents this arrangement.
Upon reevaluation, since none of the displayed options correctly represent an equivalent expression through appropriate factor products of the dimensions, we can conclude that none of the options provided is suitable to express the volume.
The only expression is given by the original product \( 3(6)(12) \).
To find another expression that can determine the volume, we need to analyze the given options:
1. **36(6)**: This equals \( 36 \times 6 = 216 \), but \( 3 \times 6 \times 12 = 216 \). This is not a proper representation of the dimensions.
2. **2(3 + 12 + 6)**: This represents multiplying 2 by the sum of the dimensions, which equals \( 2 \times 21 = 42\). This does not represent the volume accurately.
3. **4(3)(12)**: This also does not equate to the volume \( 3 \times 6 \times 12\) accurately.
4. **12 + 6 + 3**: This simply adds the dimensions, which is \( 12 + 6 + 3 = 21\). This doesn't represent volume.
The correct choice should reflect the same product of dimensions. However, outside of the options given, these expressions do not equivalently represent the volume of the prism.
If we expand our view, we do notice that you could rearrange \( 3(6)(12)\) as \( (3 \times 6) \times 12 = 18 \times 12 \), but none of the choices represents this arrangement.
Upon reevaluation, since none of the displayed options correctly represent an equivalent expression through appropriate factor products of the dimensions, we can conclude that none of the options provided is suitable to express the volume.
The only expression is given by the original product \( 3(6)(12) \).