Question

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

124
cubic meters
Start Fraction 1 over 24 End Fraction cubic meters

524
cubic meters
Start Fraction 5 over 24 End Fraction cubic meters

2124
cubic meters
Start Fraction 21 over 24 End Fraction cubic meters

724
cubic meters
Start Fraction 7 over 24 End Fraction cubic meters
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Answer 1

To find the volume of a right rectangular prism, you can use the formula:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

Given:
- Length = 13 m
- Width = 14 m
- Height = 212 m

Now, substituting these values into the formula:

\[
\text{Volume} = 13 \, \text{m} \times 14 \, \text{m} \times 212 \, \text{m}
\]

Calculating step-by-step:

1. First, calculate \( 13 \times 14 \):
\[
13 \times 14 = 182
\]

2. Now, multiply this result by the height (212 m):
\[
182 \times 212 = 38584
\]

Thus, the volume of the prism is:

\[
\text{Volume} = 38584 \, \text{cubic meters}
\]

Now, we need to make sure this is in the lowest terms given the options you've provided. Since 38584 is a whole number, it is already in its simplest form.

Therefore, none of the options provided match 38584 cubic meters. It appears there may be an error in the options given. However, the calculated volume is:

\[
38584 \, \text{cubic meters}
\]