Given:
Height of prism, h = 10 in
Width of prism, w = 3 in
Length of prism, L = 7 in
Let's find the lateral surface area of the rectangular prism.
To find the lateral surface area of the rectangular prism, aply the formula below:
[tex]\text{LSA}=Ph[/tex]
Where P is the perimeter of the base.
h is the height of the prism.
To find the perimeter of the rectangular base, apply the perimeter of a rectangle formula:
P = 2w + 2L
Thus, we have:
[tex]\begin{gathered} \text{LSA}=(2\ast3+2\ast7)10 \\ \\ \text{LSA}=(6+14)10 \\ \\ \text{LSA}=(20)10 \\ \\ \text{ LSA = 200 inches}^2 \end{gathered}[/tex]
Therefore, the lateral surface area of the given rectabgular prism is 200 square inches.
ANSWER:
[tex]\text{ A. 200 inches}^2[/tex]
