Question

using the net below, find the surface area of the rectangular prism. 4 in 2 in sa = ? in² 3 in 3 in 2 in 4 in 2 in 4 in

Explanation:

Step1: Identify the dimensions

The rectangular prism has length \( l = 4 \) in, width \( w = 3 \) in, and height \( h = 2 \) in.

Step2: Recall the surface area formula

The surface area \( SA \) of a rectangular prism is given by \( SA = 2(lw + lh + wh) \).

Step3: Substitute the values

Substitute \( l = 4 \), \( w = 3 \), and \( h = 2 \) into the formula:
\[

$$\begin{align*} SA &= 2((4 \times 3) + (4 \times 2) + (3 \times 2)) \\ &= 2(12 + 8 + 6) \\ &= 2(26) \\ &= 52 \end{align*}$$

\]

Answer:

\( 52 \)