Question
surface area of right rectangular prism with w=3.5, l=4.5 and h=2.5
Answers
GPT-4o mini
To calculate the surface area \( S \) of a right rectangular prism, you can use the formula:
\[
S = 2(lw + lh + wh)
\]
where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
Given:
- \( w = 3.5 \)
- \( l = 4.5 \)
- \( h = 2.5 \)
Now, substitute the values into the formula:
1. Calculate each term:
- \( lw = 4.5 \times 3.5 = 15.75 \)
- \( lh = 4.5 \times 2.5 = 11.25 \)
- \( wh = 3.5 \times 2.5 = 8.75 \)
2. Now, add these together:
\[
lw + lh + wh = 15.75 + 11.25 + 8.75 = 35.75
\]
3. Finally, multiply by 2 to get the surface area:
\[
S = 2 \times 35.75 = 71.5
\]
Therefore, the surface area of the right rectangular prism is \( 71.5 \) square units.
\[
S = 2(lw + lh + wh)
\]
where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
Given:
- \( w = 3.5 \)
- \( l = 4.5 \)
- \( h = 2.5 \)
Now, substitute the values into the formula:
1. Calculate each term:
- \( lw = 4.5 \times 3.5 = 15.75 \)
- \( lh = 4.5 \times 2.5 = 11.25 \)
- \( wh = 3.5 \times 2.5 = 8.75 \)
2. Now, add these together:
\[
lw + lh + wh = 15.75 + 11.25 + 8.75 = 35.75
\]
3. Finally, multiply by 2 to get the surface area:
\[
S = 2 \times 35.75 = 71.5
\]
Therefore, the surface area of the right rectangular prism is \( 71.5 \) square units.