If a box measures 2 cm by 3 cm by 5 cm, what is its surface area?

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

[

\text{Surface Area} = 2lw + 2lh + 2wh

]

where ( l ), ( w ), and ( h ) are the length, width, and height of the box, respectively.

Given the dimensions of the box are:

• Length ( l = 2 ) cm

• Width ( w = 3 ) cm

• Height ( h = 5 ) cm

Now, we can substitute these values into the surface area formula:

1. Calculate ( 2lw ):

[

2 \times (2 \text{ cm}) \times (3 \text{ cm}) = 12 \text{ cm}^2

]

2. Calculate ( 2lh ):

[

2 \times (2 \text{ cm}) \times (5 \text{ cm}) = 20 \text{ cm}^2

]

3. Calculate ( 2wh ):

[

2 \times (3 \text{ cm}) \times (5 \