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

724
cubic meters
Start Fraction 7 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

124
cubic meters

1 answer

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 the dimensions:

  • Length = 13 m
  • Width = 14 m
  • Height = 212 m

Now, substituting the values into the volume formula:

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

First, calculate \( 13 \times 14 \):

\[ 13 \times 14 = 182 \]

Next, multiply by the height (212 m):

\[ \text{Volume} = 182 \times 212 \]

Now calculate \( 182 \times 212 \):

\[ 182 \times 212 = 38584 \]

Therefore, the volume of the prism is:

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

None of the provided response options match the calculated volume of 38584 cubic meters directly. However, looking at the responses, it appears there may be a misunderstanding in the problem context or answer options. Could you clarify or check if there was an error in the problem or options provided?