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.

A container in a shape of a horn speaker is given.The coordinates in the x, y, and z axis are given…

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.

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

Section: Chapter Questions

Problem 1P

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Concept explainers

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.

Question

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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