Question

what is the surface area of the prism?
138 cm²
169 cm²
31 cm²
69 cm²

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism is \( S = 2(lw + lh + wh) \), where \( l=4.5\ \text{cm} \), \( w=4\ \text{cm} \), \( h=6\ \text{cm} \).

Step2: Calculate each face area sum

First compute \( lw = 4.5 \times 4 = 18 \), \( lh = 4.5 \times 6 = 27 \), \( wh = 4 \times 6 = 24 \). Sum: \( 18 + 27 + 24 = 69 \).

Step3: Compute total surface area

Multiply the sum by 2: \( S = 2 \times 69 = 138 \).

Answer:

138 cm²