1. 2. 12 6 10 12 12 3. 4. ---+- 8 9, 10 12

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
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**Find the Lateral Area of Each Prism**

**1.**
- Diagram: A rectangular prism
- Given dimensions: length = 12 units, width = 10 units, height = 12 units
- Lateral area calculation: Find the perimeter of the base and multiply by the height.

**2.**
- Diagram: A rectangular prism
- Given dimensions: length = 12 units, width = 8 units, height = 6 units
- Lateral area calculation: Find the perimeter of the base and multiply by the height.

**3.**
- Diagram: A triangular prism
- Given dimensions: base edges of the triangle = 5 units and 6 units, height of the triangle = 8 units, length of the prism = 10 units
- Lateral area calculation: Find the perimeter of the triangular base and multiply by the length of the prism.

**4.**
- Diagram: A triangular prism
- Given dimensions: each side of the triangular base = 9 units, length of the prism = 12 units
- Lateral area calculation: Find the perimeter of the triangular base and multiply by the length of the prism.

**Explanation for Graphs/Diagrams:**
Each diagram shows a 3D representation of a prism. Dashed lines indicate edges that are not directly visible. The dimensions provided in each diagram are necessary to calculate the lateral area of the prisms using the formula:

**Lateral Area of a Rectangular Prism:**
\[ \text{Lateral Area} = \text{Perimeter of the Base} \times \text{Height} \]

**Lateral Area of a Triangular Prism:**
\[ \text{Lateral Area} = \text{Perimeter of the Base} \times \text{Length of the Prism} \]
Transcribed Image Text:**Find the Lateral Area of Each Prism** **1.** - Diagram: A rectangular prism - Given dimensions: length = 12 units, width = 10 units, height = 12 units - Lateral area calculation: Find the perimeter of the base and multiply by the height. **2.** - Diagram: A rectangular prism - Given dimensions: length = 12 units, width = 8 units, height = 6 units - Lateral area calculation: Find the perimeter of the base and multiply by the height. **3.** - Diagram: A triangular prism - Given dimensions: base edges of the triangle = 5 units and 6 units, height of the triangle = 8 units, length of the prism = 10 units - Lateral area calculation: Find the perimeter of the triangular base and multiply by the length of the prism. **4.** - Diagram: A triangular prism - Given dimensions: each side of the triangular base = 9 units, length of the prism = 12 units - Lateral area calculation: Find the perimeter of the triangular base and multiply by the length of the prism. **Explanation for Graphs/Diagrams:** Each diagram shows a 3D representation of a prism. Dashed lines indicate edges that are not directly visible. The dimensions provided in each diagram are necessary to calculate the lateral area of the prisms using the formula: **Lateral Area of a Rectangular Prism:** \[ \text{Lateral Area} = \text{Perimeter of the Base} \times \text{Height} \] **Lateral Area of a Triangular Prism:** \[ \text{Lateral Area} = \text{Perimeter of the Base} \times \text{Length of the Prism} \]
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