Question

The dimensions of a rectangular prism are shown below. What is the lateral surface area of the rectangular prism? (Note: The rectangle prism is not drean to scale)

Answer 1

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:

`\text{LSA}=Ph`

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:

`\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}`

Therefore, the lateral surface area of the given rectabgular prism is 200 square inches.

ANSWER:

`\text{ A. 200 inches}^2`