Question
Rectangular prism length of 10 cm width of 3 cm and height of 8 cm what is the surface area
Answers
Answered by
GPT-4o mini
To calculate the surface area of a rectangular prism, you can use the following formula:
\[
\text{Surface Area} = 2 \times (l \times w + l \times h + w \times h)
\]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.
Given:
- Length (\( l \)) = 10 cm
- Width (\( w \)) = 3 cm
- Height (\( h \)) = 8 cm
Now, plug the values into the formula:
1. Calculate each area:
- \( l \times w = 10 \times 3 = 30 \, \text{cm}^2 \)
- \( l \times h = 10 \times 8 = 80 \, \text{cm}^2 \)
- \( w \times h = 3 \times 8 = 24 \, \text{cm}^2 \)
2. Add these areas together:
\[
30 + 80 + 24 = 134 \, \text{cm}^2
\]
3. Multiply by 2 to get the total surface area:
\[
\text{Surface Area} = 2 \times 134 = 268 \, \text{cm}^2
\]
Thus, the surface area of the rectangular prism is \( 268 \, \text{cm}^2 \).
\[
\text{Surface Area} = 2 \times (l \times w + l \times h + w \times h)
\]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.
Given:
- Length (\( l \)) = 10 cm
- Width (\( w \)) = 3 cm
- Height (\( h \)) = 8 cm
Now, plug the values into the formula:
1. Calculate each area:
- \( l \times w = 10 \times 3 = 30 \, \text{cm}^2 \)
- \( l \times h = 10 \times 8 = 80 \, \text{cm}^2 \)
- \( w \times h = 3 \times 8 = 24 \, \text{cm}^2 \)
2. Add these areas together:
\[
30 + 80 + 24 = 134 \, \text{cm}^2
\]
3. Multiply by 2 to get the total surface area:
\[
\text{Surface Area} = 2 \times 134 = 268 \, \text{cm}^2
\]
Thus, the surface area of the rectangular prism is \( 268 \, \text{cm}^2 \).