A rectangular prism is 1 yard long, 4.9 yards wide, and 1 yard high. What is the surface area of the rectangular prism?

1. Break Down the Problem

To find the surface area of a rectangular prism, we need to identify the dimensions and use the surface area formula.

• Dimensions:
  • Length ($l$) = 1 yard
  • Width ($w$) = 4.9 yards
  • Height ($h$) = 1 yard

2. Relevant Concepts

The formula for the surface area ($A$) of a rectangular prism is given by: $A = 2(lw + lh + wh)$

3. Analysis and Detail

Now, we will substitute the given dimensions into the formula.

• Calculate each area component:

  • $lw = 1 \times 4.9 = 4.9$ square yards
  • $lh = 1 \times 1 = 1$ square yard
  • $wh = 4.9 \times 1 = 4.9$ square yards

• Combine these to find the total surface area: $A = 2(4.9 + 1 + 4.9)$ $A = 2(10.8)$ $A = 21.6 \text{ square yards}$

4. Verify and Summarize

We have calculated each part and re-evaluated the components. The calculations are consistent and correct.

Final Answer

The surface area of the rectangular prism is $21.6$ square yards.