To find the surface area of a right rectangular prism, you can use the formula:
\[ \text{Surface Area} = 2lw + 2lh + 2wh \]
where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
Given the measurements:
- Length \( l = 4.5 , \text{cm} \)
- Width \( w = 3.5 , \text{cm} \)
- Height \( h = 2.5 , \text{cm} \)
We can substitute these values into the formula:
-
Calculate \( 2lw \): \[ 2lw = 2 \times 4.5 \times 3.5 = 2 \times 15.75 = 31.5 , \text{cm}^2 \]
-
Calculate \( 2lh \): \[ 2lh = 2 \times 4.5 \times 2.5 = 2 \times 11.25 = 22.5 , \text{cm}^2 \]
-
Calculate \( 2wh \): \[ 2wh = 2 \times 3.5 \times 2.5 = 2 \times 8.75 = 17.5 , \text{cm}^2 \]
Now, add these areas together to find the total surface area:
\[ \text{Surface Area} = 2lw + 2lh + 2wh = 31.5 + 22.5 + 17.5 = 71.5 , \text{cm}^2 \]
Thus, the surface area of the rectangular prism is:
\[ \boxed{71.5 , \text{cm}^2} \]