Question

A right rectangular prism is 514 in. wide, 1212 in. long, and 4 in. tall.

What is the volume of the prism?

Responses

50 in³
50 in³

6558  in3
fraction 65 and 5 over 8 end fraction inches cubed

260 in³
260 in³

26212  in3
fraction 262 and 1 over 2 end fraction inches cubed

Answer 1

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

\[
\text{Volume} = \text{Width} \times \text{Length} \times \text{Height}
\]

Given:
- Width = 514 in
- Length = 1212 in
- Height = 4 in

Now, substituting the values into the formula:

\[
\text{Volume} = 514 \, \text{in} \times 1212 \, \text{in} \times 4 \, \text{in}
\]

Calculating this step-by-step:

1. First, calculate \( 514 \times 1212 \):
\[
514 \times 1212 = 623088 \, \text{in}^2
\]

2. Now, multiply by the Height (4 in):
\[
623088 \, \text{in}^2 \times 4 \, \text{in} = 2492352 \, \text{in}^3
\]

Thus, the volume of the prism is:

\[
\text{Volume} = 2492352 \, \text{in}^3
\]

The provided responses do not seem to include the correct volume. The calculation shows that the volume is much larger than the options given. However, confirming the interpretation or the measurement might be useful if the options indeed reflect intended values.