e diagram below shows a container (placed sideways) that has a shape similar to a horn speaker. The top and the side views with dimensions are given on the left. e top and bottom curves shown on the zy-plane are parabolic with their vertices on the y-axis. The shape shown on the zz-plane is a trapezoid. You may assume that both shapes on the xy-plane and the zz-plane are symmetric out the z-axis. 2X3 כש 2.7 cm width height 9.6 cm C Drag with the right mouse button to rotate the 3D diagram. Slide the green slider to move the cross-section. If the diagram is not displayed correctly, try reloading the question. a. Find the width of the cross-section (in green) in terms of . Do not round any coefficient.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The diagram below shows a container (placed sideways) that has a shape similar to a horn speaker. The top and the side views with dimensions are given on the left.

The top and bottom curves shown on the zy-plane are parabolic with their vertices on the y-axis. The shape shown on the zx-plane is a trapezoid. You may assume that both shapes on the zy-plane and the zx-plane are symmetric about the x-axis.

![Container Diagram](container_diagram.jpg)

**Diagram Analysis:**

1. **Top View (zy-plane):**
   - The top view shows a parabola with its vertex on the y-axis.
   - The width of the parabola is labeled as 3.2 cm and the height is 7.3 cm.

2. **Side View (zx-plane):**
   - The side view shows a trapezoid.
   - The height of the trapezoid is given as 4.5 cm.
   - The width is labeled as 9.6 cm at the base and 2.7 cm at the top.

3. **3D View:**
   - The container in 3D is depicted with axes labeled x, y, and z.
   - A cross-section of the container can be moved using the green slider.

**Instructions:**

- Drag with the right mouse button to rotate the 3D diagram. Slide the green slider to move the cross-section.

---

**Questions:**

a. **Find the width of the cross-section (in green) in terms of x. Do not round any coefficient.**

```
width of cross-section = _______
```

b. **Find the height of the cross-section in terms of x. Do not round any coefficient.**

```
height of cross-section = _______
```

c. **Find the capacity of the container if it stands upright. Round your answer to at least 3 significant figures and include the unit. You should be able to integrate this by hand but feel free to use a computer.**

```
Capacity = ________
```

**Note:** If the diagram is not displayed correctly, try reloading the question.
Transcribed Image Text:The diagram below shows a container (placed sideways) that has a shape similar to a horn speaker. The top and the side views with dimensions are given on the left. The top and bottom curves shown on the zy-plane are parabolic with their vertices on the y-axis. The shape shown on the zx-plane is a trapezoid. You may assume that both shapes on the zy-plane and the zx-plane are symmetric about the x-axis. ![Container Diagram](container_diagram.jpg) **Diagram Analysis:** 1. **Top View (zy-plane):** - The top view shows a parabola with its vertex on the y-axis. - The width of the parabola is labeled as 3.2 cm and the height is 7.3 cm. 2. **Side View (zx-plane):** - The side view shows a trapezoid. - The height of the trapezoid is given as 4.5 cm. - The width is labeled as 9.6 cm at the base and 2.7 cm at the top. 3. **3D View:** - The container in 3D is depicted with axes labeled x, y, and z. - A cross-section of the container can be moved using the green slider. **Instructions:** - Drag with the right mouse button to rotate the 3D diagram. Slide the green slider to move the cross-section. --- **Questions:** a. **Find the width of the cross-section (in green) in terms of x. Do not round any coefficient.** ``` width of cross-section = _______ ``` b. **Find the height of the cross-section in terms of x. Do not round any coefficient.** ``` height of cross-section = _______ ``` c. **Find the capacity of the container if it stands upright. Round your answer to at least 3 significant figures and include the unit. You should be able to integrate this by hand but feel free to use a computer.** ``` Capacity = ________ ``` **Note:** If the diagram is not displayed correctly, try reloading the question.
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