Question

find the surface area of each rectangular prism 1) 2)

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Solve for the first prism

For the first prism with $l = 13$ in, $w = 9$ in, and $h = 3$ in.
\[

$$\begin{align*} SA&=2(13\times9 + 13\times3+9\times3)\\ &=2(117 + 39+27)\\ &=2(183)\\ &=366\text{ in}^2 \end{align*}$$

\]

Step3: Solve for the second prism

For the second prism with $l = 20$ yd, $w = 4$ yd, and assume height $h = 4$ yd (since no height is given other than the side length of 4 yd, we assume it's a rectangular - shaped side).
\[

$$\begin{align*} SA&=2(20\times4+20\times4 + 4\times4)\\ &=2(80 + 80+16)\\ &=2(176)\\ &=352\text{ yd}^2 \end{align*}$$

\]

Answer:

1. $366$ in$^2$
2. $352$ yd$^2$