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

1 answer

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

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

Given the dimensions of the prism:

  • Width = 514 in
  • Length = 1212 in
  • Height = 4 in

Now, plug in the values:

\[ V = 514 \times 1212 \times 4 \]

First, calculate \( 514 \times 1212 \):

\[ 514 \times 1212 = 623208 \]

Now, multiply that result by 4:

\[ 623208 \times 4 = 2492832 \]

Therefore, the volume of the prism is:

\[ V = 2492832 , \text{in}^3 \]

None of the provided responses match this volume. The correct volume is 2492832 in³.