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

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

• A. 30 cm²
• B. 50 cm²
• C. 62 cm²
• D. 70 cm²

Answer: (C)

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 \

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 \