Question

I rectangular prism has measurements of the base is 11 inches. The height is 14 inches and the width is 20 inches. What is the surface area?

Answer 1

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

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

where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Given the measurements:
- Length (base) \( l = 11 \) inches
- Width \( w = 20 \) inches
- Height \( h = 14 \) inches

Now, we can plug these values into the formula:

1. Calculate each product:
- \( lw = 11 \times 20 = 220 \)
- \( lh = 11 \times 14 = 154 \)
- \( wh = 20 \times 14 = 280 \)

2. Add these products together:
\[
lw + lh + wh = 220 + 154 + 280 = 654
\]

3. Now multiply by 2 to find the surface area:
\[
\text{Surface Area} = 2 \times 654 = 1308 \text{ square inches}
\]

So, the surface area of the rectangular prism is \( \boxed{1308} \) square inches.