A right rectangular prism is 1012 m wide, 1512 m long, and 3 m tall.

What is the volume of the prism?

Responses

4612 m³
46 and 1 over 2 m³

16234m³
162 and 3 over 4 m³

48814 m³
488 and 1 over 4 m³

528 m³
528 m³

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 of the prism:

  • Width = 1012 m
  • Length = 1512 m
  • Height = 3 m

Plugging in the values:

\[ \text{Volume} = 1512 , \text{m} \times 1012 , \text{m} \times 3 , \text{m} \]

Calculating step by step:

  1. First, calculate the area of the base:

\[ 1512 , \text{m} \times 1012 , \text{m} = 1525154 , \text{m}^2 \]

  1. Now multiply by the height:

\[ \text{Volume} = 1525154 , \text{m}^2 \times 3 , \text{m} = 4575462 , \text{m}^3 \]

So, the volume of the prism is 4575462 m³. However, none of the provided responses matches this answer exactly. Please double-check if the dimensions or responses might have been misstated, or if there is a rounding error involved.