Solve this using surface area
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To calculate the surface area of the rectangular prism shown in the image, we use the formula:
$$SA = 2lw + 2lh + 2wh$$
where $l$ is the length, $w$ is the width, and $h$ is the height.
Step 1: Identify the dimensions from the image.
From the image, we can determine the dimensions:
Length ($l$) = $2$ units
Width ($w$) = $1$ unit
Height ($h$) = $2$ units
Step 2: Substitute these values into the surface area formula.
$$SA = 2(2)(1) + 2(2)(2) + 2(1)(2)$$
Step 3: Calculate each term.
$$SA = 2(2) + 2(4) + 2(2)$$
$$SA = 4 + 8 + 4$$
Step 4: Add the terms to find the total surface area.
$$SA = 16 \text{ square units}$$
The surface area of the rectangular prism is $\boxed{\text{16 square units}}$.
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