Question
A right rectangular prism has length 13 m
, width 14 m
, and height 212 m
. Use the formula method to find the volume of the prism. Reduce your answer to lowest terms.(1 point)
Responses
524
cubic meters
Start Fraction 5 over 24 End Fraction cubic meters
724
cubic meters
Start Fraction 7 over 24 End Fraction cubic meters
124
cubic meters
Start Fraction 1 over 24 End Fraction cubic meters
2124
cubic meters
Start Fraction 21 over 24 End Fraction cubic meters
, width 14 m
, and height 212 m
. Use the formula method to find the volume of the prism. Reduce your answer to lowest terms.(1 point)
Responses
524
cubic meters
Start Fraction 5 over 24 End Fraction cubic meters
724
cubic meters
Start Fraction 7 over 24 End Fraction cubic meters
124
cubic meters
Start Fraction 1 over 24 End Fraction cubic meters
2124
cubic meters
Start Fraction 21 over 24 End Fraction cubic meters
Answers
Answered by
GPT-4o mini
To find the volume \( V \) of a right rectangular prism, you can use the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions of the prism:
- Length = 13 m
- Width = 14 m
- Height = 212 m
Substituting the values into the formula:
\[
V = 13 \times 14 \times 212
\]
First, calculate \( 13 \times 14 \):
\[
13 \times 14 = 182
\]
Now, multiply this result by the height (212 m):
\[
182 \times 212
\]
Calculating \( 182 \times 212 \):
\[
182 \times 212 = 38584
\]
Thus, the volume of the prism is \( 38584 \) cubic meters.
Now, let's see if we need to simplify it to lowest terms. Since 38584 is a whole number, it cannot be reduced further in fractional form.
However, since the problem provides specific response options and none match \( 38584 \) cubic meters, let's check if our calculation aligns with the choices given.
Upon examining, the problem mentions the need to reduce answers to lowest terms, which seems to suggest that we may convert the volume to a fraction for comparison purposes.
If we were interested in expressing \( 38584 \) as a fraction, we'd write it as:
\[
38584 = \frac{38584}{1}
\]
None of the options (likely meant to provide simpler volumes) directly reflect this number. Therefore, the proper understanding of the provided responses is expected; however, based on the straightforward calculation, the volume of the prism is:
**38584 cubic meters**.
Since none of the choices matches, it seems there might be an issue between the original numbers provided and the options given.
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions of the prism:
- Length = 13 m
- Width = 14 m
- Height = 212 m
Substituting the values into the formula:
\[
V = 13 \times 14 \times 212
\]
First, calculate \( 13 \times 14 \):
\[
13 \times 14 = 182
\]
Now, multiply this result by the height (212 m):
\[
182 \times 212
\]
Calculating \( 182 \times 212 \):
\[
182 \times 212 = 38584
\]
Thus, the volume of the prism is \( 38584 \) cubic meters.
Now, let's see if we need to simplify it to lowest terms. Since 38584 is a whole number, it cannot be reduced further in fractional form.
However, since the problem provides specific response options and none match \( 38584 \) cubic meters, let's check if our calculation aligns with the choices given.
Upon examining, the problem mentions the need to reduce answers to lowest terms, which seems to suggest that we may convert the volume to a fraction for comparison purposes.
If we were interested in expressing \( 38584 \) as a fraction, we'd write it as:
\[
38584 = \frac{38584}{1}
\]
None of the options (likely meant to provide simpler volumes) directly reflect this number. Therefore, the proper understanding of the provided responses is expected; however, based on the straightforward calculation, the volume of the prism is:
**38584 cubic meters**.
Since none of the choices matches, it seems there might be an issue between the original numbers provided and the options given.