Surface Area of a Cuboid: Data with powers and roots

To solve this problem, we'll follow these steps:

• Step 1: Identify the dimensions of the cuboid.
• Step 2: Apply the surface area formula for a cuboid.
• Step 3: Calculate and interpret the result.

Now, let’s work through each step:

Step 1: We have the dimensions as follows:
- Length ($l$) = 72
- Width ($w$) = 17
- Height ($h$) = 14

Step 2: Apply the surface area formula:
The total surface area $A$ is calculated using the formula:
$A = 2(lw + lh + wh)$ Substitute the given dimensions into the formula:
$A = 2((72 \times 17) + (72 \times 14) + (17 \times 14))$

Step 3: Calculate each multiplication and sum them up:
- Calculate $72 \times 17 = 1224$
- Calculate $72 \times 14 = 1008$
- Calculate $17 \times 14 = 238$
Now substitute back into the equation:
$A = 2(1224 + 1008 + 238)$ Add the products:
$A = 2(2470)$ Finally, multiply by 2:
$A = 4940$

Therefore, the surface area of the cuboid is $4940 \, \text{square units}$.