Calculate the surface area of a box:

Question

width = 2.5 cm, length = 8 cm, and height = 10 cm.(1 point)
Responses

3,860 cm2
3
,
860

cm
2
3,860 cm squared

1,440 cm2
1
,
440

cm
2
1,440 cm squared

41 cm2
41

cm
2
41 cm squared

250 cm2

Answer 1

To calculate the surface area of a box (rectangular prism), you can use the following formula:

\[ \text{Surface Area} = 2 \times (length \times width + length \times height + width \times height) \]

Given:

• Width = 2.5 cm
• Length = 8 cm
• Height = 10 cm

Let's calculate it step by step.

1. Calculate each product:

   • Length × Width = 8 cm × 2.5 cm = 20 cm²
   • Length × Height = 8 cm × 10 cm = 80 cm²
   • Width × Height = 2.5 cm × 10 cm = 25 cm²

2. Now, sum these areas:

   • Total area = 20 cm² + 80 cm² + 25 cm² = 125 cm²

3. Then, multiply by 2 for the total surface area:

   • Surface Area = 2 × 125 cm² = 250 cm²

So, the surface area of the box is 250 cm².