Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 7 ft 7 ft 4 ft

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism is \( S = 2(lw + lh + wh) \), where \( l=7\ \text{ft} \), \( w=4\ \text{ft} \), \( h=7\ \text{ft} \).

Step2: Calculate each face area sum

First compute \( lw = 7 \times 4 = 28 \), \( lh = 7 \times 7 = 49 \), \( wh = 4 \times 7 = 28 \). Then sum: \( 28 + 49 + 28 = 105 \).

Step3: Multiply by 2 for total area

Multiply the sum by 2: \( 2 \times 105 = 210 \).

Step4: Identify correct unit

Surface area uses square units, so \( \text{ft}^2 \).

Answer:

210 \( \text{ft}^2 \)