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Solve this using surface area

Mathematics

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Answer

16 square units\text{16 square units}

Step-by-step solution

4 steps

To calculate the surface area of the rectangular prism shown in the image, we use the formula:

SA=2lw+2lh+2whSA = 2lw + 2lh + 2wh

where ll is the length, ww is the width, and hh is the height.

  1. Identify the dimensions from the image.

    From the image, we can determine the dimensions:

    • Length (ll) = 2 units
    • Width (ww) = 1 unit
    • Height (hh) = 2 units
  2. Substitute these values into the surface area formula.

    SA=2(2)(1)+2(2)(2)+2(1)(2)SA = 2(2)(1) + 2(2)(2) + 2(1)(2)
  3. Calculate each term.

    SA=2(2)+2(4)+2(2)SA = 2(2) + 2(4) + 2(2) SA=4+8+4SA = 4 + 8 + 4
  4. Add the terms to find the total surface area.

    SA=16 square unitsSA = 16 \text{ square units}

    The surface area of the rectangular prism is 16 square units\text{16 square units}.

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