Question

find the surface area of this rectangular prism. be sure to include the correct unit in your answer. 2 ft 2 ft 9 ft

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism is given by:
$$S = 2(lw + lh + wh)$$
where \( l = 9 \, \text{ft} \), \( w = 2 \, \text{ft} \), \( h = 2 \, \text{ft} \).

Step2: Substitute values into formula

$$\begin{align*} S &= 2((9 \times 2) + (9 \times 2) + (2 \times 2)) \\ &= 2(18 + 18 + 4) \end{align*}$$

Step3: Calculate inside the parentheses

$$\begin{align*} S &= 2(40) \end{align*}$$

Step4: Compute final surface area

$$ S = 80 $$

Answer:

80 square feet