Calculate the surface area of a right rectangular prism. Each edge is 15 ft

Answer 1

To calculate the surface area of a right rectangular prism, you can use the formula:

\[ \text{Surface Area} = 2(lw + lh + wh) \]

where \(l\), \(w\), and \(h\) are the lengths of the edges of the prism. In this case, since each edge is 15 ft, we have:

• \(l = 15\) ft
• \(w = 15\) ft
• \(h = 15\) ft

Now, substitute these values into the formula:

\[ \text{Surface Area} = 2(15 \cdot 15 + 15 \cdot 15 + 15 \cdot 15) \]

Calculating the individual areas:

\[ 15 \cdot 15 = 225 \]

So, we have:

\[ \text{Surface Area} = 2(225 + 225 + 225) \]

\[ = 2(675) \]

\[ = 1350 \text{ ft}^2 \]

Thus, the surface area of the right rectangular prism is \( \boxed{1350 \text{ ft}^2} \).

Answer 2

you sure?

Answer 3

Yes, let's double-check the calculation step-by-step to ensure accuracy.

For a right rectangular prism with all edges equal to 15 ft (which makes it a cube), we can denote the length, width, and height as:

• \( l = 15 \) ft
• \( w = 15 \) ft
• \( h = 15 \) ft

The formula for the surface area of a rectangular prism is:

\[ \text{Surface Area} = 2(lw + lh + wh) \]

Substituting in our values:

1. Calculate \( lw \): \[ lw = 15 \times 15 = 225 \text{ ft}^2 \]

2. Calculate \( lh \): \[ lh = 15 \times 15 = 225 \text{ ft}^2 \]

3. Calculate \( wh \): \[ wh = 15 \times 15 = 225 \text{ ft}^2 \]

Now add these areas together:

\[ lw + lh + wh = 225 + 225 + 225 = 675 \text{ ft}^2 \]

Finally, multiply by 2 for the total surface area:

\[ \text{Surface Area} = 2 \times 675 = 1350 \text{ ft}^2 \]

So, the surface area calculation is indeed correct. The surface area of the right rectangular prism is \( \boxed{1350 \text{ ft}^2} \).