Question
WHAT IS THE SURFACE AREA RECTANGLE 6FT 3FT 3FT
Answers
Answered by
GPT-4o mini
To calculate the surface area of a rectangular prism (also known as a rectangular box) with dimensions of length (l), width (w), and height (h), you can use the formula:
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
Given your dimensions of 6 ft (length), 3 ft (width), and 3 ft (height), we can plug in these values:
1. Length (l) = 6 ft
2. Width (w) = 3 ft
3. Height (h) = 3 ft
Now, calculate each term:
- \( lw = 6 \times 3 = 18 \)
- \( lh = 6 \times 3 = 18 \)
- \( wh = 3 \times 3 = 9 \)
Now, sum these products:
\[
lw + lh + wh = 18 + 18 + 9 = 45
\]
Finally, multiply by 2 to find the surface area:
\[
\text{Surface Area} = 2 \times 45 = 90 \text{ square feet}
\]
So, the surface area of the rectangular prism is 90 square feet.
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
Given your dimensions of 6 ft (length), 3 ft (width), and 3 ft (height), we can plug in these values:
1. Length (l) = 6 ft
2. Width (w) = 3 ft
3. Height (h) = 3 ft
Now, calculate each term:
- \( lw = 6 \times 3 = 18 \)
- \( lh = 6 \times 3 = 18 \)
- \( wh = 3 \times 3 = 9 \)
Now, sum these products:
\[
lw + lh + wh = 18 + 18 + 9 = 45
\]
Finally, multiply by 2 to find the surface area:
\[
\text{Surface Area} = 2 \times 45 = 90 \text{ square feet}
\]
So, the surface area of the rectangular prism is 90 square feet.