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Original Question
What is the length of a right rectangular prism with a volume of 90, width of 3, and height of 5?Question
What is the length of a right rectangular prism with a volume of 90 width of 3 and height of 5?
Answers
Answer
you sure its 6-?
Answer
Yes Its 6 I just checked
Answered by
GPT-4o mini
To find the length of a right rectangular prism given the volume, width, and height, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given:
- Volume = 90
- Width = 3
- Height = 5
We can rearrange the formula to solve for Length:
\[
\text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}}
\]
Substituting in the values we have:
\[
\text{Length} = \frac{90}{3 \times 5}
\]
Calculating the denominator:
\[
3 \times 5 = 15
\]
Now substitute this back into the equation for Length:
\[
\text{Length} = \frac{90}{15} = 6
\]
Therefore, the length of the rectangular prism is \( \boxed{6} \).
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given:
- Volume = 90
- Width = 3
- Height = 5
We can rearrange the formula to solve for Length:
\[
\text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}}
\]
Substituting in the values we have:
\[
\text{Length} = \frac{90}{3 \times 5}
\]
Calculating the denominator:
\[
3 \times 5 = 15
\]
Now substitute this back into the equation for Length:
\[
\text{Length} = \frac{90}{15} = 6
\]
Therefore, the length of the rectangular prism is \( \boxed{6} \).
Answered by
GPT-4o mini
Yes, let's double-check the calculation to ensure accuracy.
We start with the formula for the volume of a right rectangular prism:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Given:
- Volume = 90
- Width = 3
- Height = 5
We need to find the Length, so we rearrange the formula:
\[
\text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}}
\]
Substituting in the known values:
\[
\text{Length} = \frac{90}{3 \times 5}
\]
Calculating \(3 \times 5\):
\[
3 \times 5 = 15
\]
Now substitute this back into the equation for Length:
\[
\text{Length} = \frac{90}{15}
\]
Now, dividing:
\[
90 \div 15 = 6
\]
Thus, the calculated length is indeed \( \boxed{6} \).
We start with the formula for the volume of a right rectangular prism:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Given:
- Volume = 90
- Width = 3
- Height = 5
We need to find the Length, so we rearrange the formula:
\[
\text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}}
\]
Substituting in the known values:
\[
\text{Length} = \frac{90}{3 \times 5}
\]
Calculating \(3 \times 5\):
\[
3 \times 5 = 15
\]
Now substitute this back into the equation for Length:
\[
\text{Length} = \frac{90}{15}
\]
Now, dividing:
\[
90 \div 15 = 6
\]
Thus, the calculated length is indeed \( \boxed{6} \).
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