Question
Rectangular prism length of 50 width 20 and 25 height
Answers
Answered by
GPT-4o mini
To find various properties of a rectangular prism with a length of 50 units, a width of 20 units, and a height of 25 units, you can calculate the following:
1. **Volume**: The volume \( V \) of a rectangular prism is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
So, for your prism:
\[
V = 50 \times 20 \times 25 = 25,000 \text{ cubic units}
\]
2. **Surface Area**: The surface area \( A \) of a rectangular prism is given by the formula:
\[
A = 2(\text{length} \times \text{width} + \text{length} \times \text{height} + \text{width} \times \text{height})
\]
Plugging in your dimensions:
\[
A = 2(50 \times 20 + 50 \times 25 + 20 \times 25)
\]
\[
A = 2(1000 + 1250 + 500) = 2(2750) = 5500 \text{ square units}
\]
So, the rectangular prism has a volume of **25,000 cubic units** and a surface area of **5,500 square units**.
1. **Volume**: The volume \( V \) of a rectangular prism is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
So, for your prism:
\[
V = 50 \times 20 \times 25 = 25,000 \text{ cubic units}
\]
2. **Surface Area**: The surface area \( A \) of a rectangular prism is given by the formula:
\[
A = 2(\text{length} \times \text{width} + \text{length} \times \text{height} + \text{width} \times \text{height})
\]
Plugging in your dimensions:
\[
A = 2(50 \times 20 + 50 \times 25 + 20 \times 25)
\]
\[
A = 2(1000 + 1250 + 500) = 2(2750) = 5500 \text{ square units}
\]
So, the rectangular prism has a volume of **25,000 cubic units** and a surface area of **5,500 square units**.