What is the surface area of the prism shown below? 10 in. 8 in. 11 in.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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what is the surface area of the prism shown below? include all details 

### Multiple Choice

#### Question 5

**What is the surface area of the prism shown below?**

<div style="text-align: center;">
  <img src="image_of_prism.png" alt="Prism diagram" />
</div>

The diagram is a three-dimensional representation of a prism with the following measurements:
- **Length (l):** 10 inches
- **Width (w):** 8 inches
- **Height (h):** 11 inches

**Hint:**
\[
\text{LA} = P \cdot h
\]
where \( P \) is the perimeter of the base and \( h \) is the height of the prism.

\[
\text{SA} = \text{LA} + 2B
\]
where \( B \) is the area of the base.

---

**Options:**
- **A)** 264 \( \text{in}^2 \)
- **B)** 312 \( \text{in}^2 \)
- **C)** 288 \( \text{in}^2 \)

---

*Select the correct option based on the given information and formulae.*
Transcribed Image Text:### Multiple Choice #### Question 5 **What is the surface area of the prism shown below?** <div style="text-align: center;"> <img src="image_of_prism.png" alt="Prism diagram" /> </div> The diagram is a three-dimensional representation of a prism with the following measurements: - **Length (l):** 10 inches - **Width (w):** 8 inches - **Height (h):** 11 inches **Hint:** \[ \text{LA} = P \cdot h \] where \( P \) is the perimeter of the base and \( h \) is the height of the prism. \[ \text{SA} = \text{LA} + 2B \] where \( B \) is the area of the base. --- **Options:** - **A)** 264 \( \text{in}^2 \) - **B)** 312 \( \text{in}^2 \) - **C)** 288 \( \text{in}^2 \) --- *Select the correct option based on the given information and formulae.*
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