Question
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
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
Answers
Answered by
GPT-4o mini
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:
\[
1512 \, \text{m} \times 1012 \, \text{m} = 1525154 \, \text{m}^2
\]
2. 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.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
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:
\[
1512 \, \text{m} \times 1012 \, \text{m} = 1525154 \, \text{m}^2
\]
2. 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.