Question
what is the surface area of a figure with 6,3, and 3ft
Answers
Answered by
GPT-4o mini
To find the surface area of a figure with dimensions 6 feet, 3 feet, and 3 feet, we first need to determine the type of figure. Given three dimensions, this suggests we are dealing with a rectangular prism (also known as a cuboid).
The formula for the surface area \( A \) of a rectangular prism is given by:
\[
A = 2(lw + lh + wh)
\]
where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.
For the given dimensions:
- \( l = 6 \, \text{ft} \)
- \( w = 3 \, \text{ft} \)
- \( h = 3 \, \text{ft} \)
Now substitute these values into the formula:
\[
A = 2((6)(3) + (6)(3) + (3)(3))
\]
Calculating each term inside the parentheses:
1. \( (6)(3) = 18 \)
2. \( (6)(3) = 18 \)
3. \( (3)(3) = 9 \)
Now, add these values together:
\[
18 + 18 + 9 = 45
\]
Now multiply by 2:
\[
A = 2 \times 45 = 90 \, \text{ft}^2
\]
Therefore, the surface area of the rectangular prism is **90 square feet**.
The formula for the surface area \( A \) of a rectangular prism is given by:
\[
A = 2(lw + lh + wh)
\]
where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height.
For the given dimensions:
- \( l = 6 \, \text{ft} \)
- \( w = 3 \, \text{ft} \)
- \( h = 3 \, \text{ft} \)
Now substitute these values into the formula:
\[
A = 2((6)(3) + (6)(3) + (3)(3))
\]
Calculating each term inside the parentheses:
1. \( (6)(3) = 18 \)
2. \( (6)(3) = 18 \)
3. \( (3)(3) = 9 \)
Now, add these values together:
\[
18 + 18 + 9 = 45
\]
Now multiply by 2:
\[
A = 2 \times 45 = 90 \, \text{ft}^2
\]
Therefore, the surface area of the rectangular prism is **90 square feet**.