2. 6 12 8

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Find the Lateral Area of Each Prism**

1. **Rectangular Prism**
    - The prism has a length of 12 units, a width of 10 units, and a height of 12 units.

2. **Rectangular Prism**
    - The prism has a length of 12 units, a width of 8 units, and a height of 6 units.

3. **Triangular Prism**
    - The triangular face has sides of lengths 6 units and 5 units, and the base of the triangle is 8 units.
    - The length of the prism (perpendicular to the triangular base) is 10 units.

4. **Triangular Prism**
    - The triangular face is an equilateral triangle with each side being 9 units.
    - The length of the prism (perpendicular to the triangular base) is 12 units.

**Explanation of Diagrams:**
- Each prism is depicted with its dimensions indicated.
- The dashed lines represent the hidden edges of the solid figure, helping visualize its three-dimensionality.
- The lateral area calculation involves summing the areas of all the vertical faces (excluding the base and top).

**Lateral Area Calculation:**
- **Rectangular Prisms:** The lateral area is found by calculating the perimeter of the base and multiplying it by the height.
- **Triangular Prisms:** The lateral area is found by summing the areas of the three rectangular faces.

Remember to use the appropriate formulae for each shape to find its lateral area accurately.
Transcribed Image Text:**Find the Lateral Area of Each Prism** 1. **Rectangular Prism** - The prism has a length of 12 units, a width of 10 units, and a height of 12 units. 2. **Rectangular Prism** - The prism has a length of 12 units, a width of 8 units, and a height of 6 units. 3. **Triangular Prism** - The triangular face has sides of lengths 6 units and 5 units, and the base of the triangle is 8 units. - The length of the prism (perpendicular to the triangular base) is 10 units. 4. **Triangular Prism** - The triangular face is an equilateral triangle with each side being 9 units. - The length of the prism (perpendicular to the triangular base) is 12 units. **Explanation of Diagrams:** - Each prism is depicted with its dimensions indicated. - The dashed lines represent the hidden edges of the solid figure, helping visualize its three-dimensionality. - The lateral area calculation involves summing the areas of all the vertical faces (excluding the base and top). **Lateral Area Calculation:** - **Rectangular Prisms:** The lateral area is found by calculating the perimeter of the base and multiplying it by the height. - **Triangular Prisms:** The lateral area is found by summing the areas of the three rectangular faces. Remember to use the appropriate formulae for each shape to find its lateral area accurately.
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