The figure here is a rectangular prism. The height of the prism is 7 units; the other dimensions of the prism are 3 and 11 units. Determine the surface area of the figure. (NOTE: The diagram is not necessarily drawn to scale.)

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To find the surface area of a rectangular prism, we need to calculate the sum of the areas of all its faces.

Given:
- Height of the prism = 7 units
- Other dimensions of the prism = 3 and 11 units

The surface area of a rectangular prism is given by the formula:
$$ \text{Surface Area} = 2lw + 2lh + 2wh $$

where:
- $$ l $$ = length of the prism
- $$ w $$ = width of the prism
- $$ h $$ = height of the prism

Substitute the given values into the formula:
- $$ l = 11 $$ units
- $$ w = 3 $$ units
- $$ h = 7 $$ units

$$ \text{Surface Area} = 2(11)(3) + 2(11)(7) + 2(3)(7) $$

Now, we can calculate the surface area of the rectangular prism.
Calculate the value by following steps:
- step0: Calculate:
  $$2\times 11\times 3+2\times 11\times 7+2\times 3\times 7$$
- step1: Multiply the terms:
  $$66+2\times 11\times 7+2\times 3\times 7$$
- step2: Multiply the terms:
  $$66+154+2\times 3\times 7$$
- step3: Multiply the terms:
  $$66+154+42$$
- step4: Add the numbers:
  $$262$$
The surface area of the rectangular prism is 262 square units.
The surface area of the rectangular prism is 262 square units.

The figure here is a rectangular prism. The height of the prism is 7 units; the other dimensions of the prism are 3 and 11 units. Determine the surface area of the figure. (NOTE: The diagram is not necessarily drawn to scale.)

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