What is the approximate surface area of a box that is 8 inches wide, 12 inches long, and 9 inches tall? A 276 sq. in.

Question

UpStudy AI · Accepted Answer

To find the surface area of a box (rectangular prism), we can use the formula:

$$
SA = 2lw + 2lh + 2wh
$$

where:
- $$ l $$ is the length,
- $$ w $$ is the width,
- $$ h $$ is the height.

Given:
- $$ l = 12 $$ inches,
- $$ w = 8 $$ inches,
- $$ h = 9 $$ inches.

Now, let's calculate the surface area step by step.

1. Calculate $$ lw $$:
   $$
   lw = 12 \times 8 = 96
   $$

2. Calculate $$ lh $$:
   $$
   lh = 12 \times 9 = 108
   $$

3. Calculate $$ wh $$:
   $$
   wh = 8 \times 9 = 72
   $$

4. Now substitute these values into the surface area formula:
   $$
   SA = 2(96) + 2(108) + 2(72)
   $$

5. Calculate each term:
   $$
   2(96) = 192
   $$
   $$
   2(108) = 216
   $$
   $$
   2(72) = 144
   $$

6. Add these results together:
   $$
   SA = 192 + 216 + 144
   $$

7. Finally, calculate the total:
   $$
   SA = 552
   $$

Thus, the approximate surface area of the box is $$ 552 $$ square inches.
The surface area of the box is 552 square inches.

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