Only question 8 ### Finding the Surface Area of Each PrismFor each of the following prism diagrams, calculate the surface area and round to the nearest tenth if necessary.#### Diagram 5:A rectangular prism with dimensions:- Length: 18 units- Width: 6 units- Height: 8 units#### Diagram 6:A rectangular prism with dimensions:- Length: 15 units- Width: 13 units- Height: 7 units#### Diagram 7:A triangular prism with dimensions:- Height of the triangle: 6 units- Base of the triangle: 9 units- Hypotenuse of the triangle: 10 units#### Diagram 8:A triangular prism with dimensions:- Height of the triangle: 4 units- Base of the triangle: 3 units- Hypotenuse of the triangle: 5 units (not provided but derived from a right triangle with sides 3 and 4)- Length of the prism: 7 units### Explanation:1. **Rectangular Prism Surface Area Calculation**: The surface area $A$ of a rectangular prism can be calculated with the formula: \[ A = 2lw + 2lh + 2wh \] where $l$ is the length, $w$ is the width, and $h$ is the height. - For Diagram 5: \[ A = 2(18 \times 6) + 2(18 \times 8) + 2(6 \times 8) \] - For Diagram 6: \[ A = 2(15 \times 13) + 2(15 \times 7) + 2(13 \times 7) \]2. **Triangular Prism Surface Area Calculation**: The surface area $A$ of a triangular prism can be calculated with the formula: \[ A = bh + lw + lh + wh + lw \] where $b$ is the base of the triangle, $h$ is the height of the triangle, and $l$ is the length of the prism. - For Diagram 7: \[ \text{Base Area} = \frac{1}{2} \times 6 \times 9 \

Name: Only question 8 ### Finding the Surface Area of Each PrismFor each of
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Description: Only question 8 ### Finding the Surface Area of Each PrismFor each of the following prism diagrams, calculate the surface area and round to the nearest tenth if necessary.#### Diagram 5:A rectangular prism with dimensions:- Length: 18 units- Width: 6

8) Given: Perpendicular height p = 4 Length of prism l = 3 Base b = 7 Surface…

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8. 4 7

Elementary Geometry For College Students, 7e

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ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Only question 8

### Finding the Surface Area of Each Prism

For each of the following prism diagrams, calculate the surface area and round to the nearest tenth if necessary.

#### Diagram 5:
A rectangular prism with dimensions:
- Length: 18 units
- Width: 6 units
- Height: 8 units

#### Diagram 6:
A rectangular prism with dimensions:
- Length: 15 units
- Width: 13 units
- Height: 7 units

#### Diagram 7:
A triangular prism with dimensions:
- Height of the triangle: 6 units
- Base of the triangle: 9 units
- Hypotenuse of the triangle: 10 units

#### Diagram 8:
A triangular prism with dimensions:
- Height of the triangle: 4 units
- Base of the triangle: 3 units
- Hypotenuse of the triangle: 5 units (not provided but derived from a right triangle with sides 3 and 4)
- Length of the prism: 7 units

### Explanation:

1. **Rectangular Prism Surface Area Calculation**:
The surface area $A$ of a rectangular prism can be calculated with the formula:
\[
A = 2lw + 2lh + 2wh
\]
where $l$ is the length, $w$ is the width, and $h$ is the height.

- For Diagram 5:
\[
A = 2(18 \times 6) + 2(18 \times 8) + 2(6 \times 8)
\]
- For Diagram 6:
\[
A = 2(15 \times 13) + 2(15 \times 7) + 2(13 \times 7)
\]

2. **Triangular Prism Surface Area Calculation**:
The surface area $A$ of a triangular prism can be calculated with the formula:
\[
A = bh + lw + lh + wh + lw
\]
where $b$ is the base of the triangle, $h$ is the height of the triangle, and $l$ is the length of the prism.

- For Diagram 7:
\[
\text{Base Area} = \frac{1}{2} \times 6 \times 9
\

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