25. For the box shown, the total area is 94 cm2. Determine the value of x. mahg x+2 4 Exercises 25, 26

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
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number 25 (9.1)
### Chapter 9 - Surfaces and Solids

#### Practice Problems

#### Exercises 25, 26

##### 24.
For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than the width of the base and the lateral area is 96 m², find the dimensions of the box.

##### 25.
For the box shown, the total area is 94 cm². Determine the value of x.

##### 26.
If the volume of the box is 252 in³, find the value of x. (See the figure for Exercise 25.)

##### Explanation of Diagram
The provided figure illustrates a rectangular box with dimensions labeled as follows:
- Width: x
- Length: x + 2
- Height: 4 

This information is used for solving Exercises 25 and 26. The figure helps visualize the dimensions and relationships between the different sides of the box, crucial for calculating area and volume in the given exercises.

##### Follow-Up Problem
##### 27.
The box with dimensions indicated is to be constructed.
Transcribed Image Text:### Chapter 9 - Surfaces and Solids #### Practice Problems #### Exercises 25, 26 ##### 24. For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than the width of the base and the lateral area is 96 m², find the dimensions of the box. ##### 25. For the box shown, the total area is 94 cm². Determine the value of x. ##### 26. If the volume of the box is 252 in³, find the value of x. (See the figure for Exercise 25.) ##### Explanation of Diagram The provided figure illustrates a rectangular box with dimensions labeled as follows: - Width: x - Length: x + 2 - Height: 4 This information is used for solving Exercises 25 and 26. The figure helps visualize the dimensions and relationships between the different sides of the box, crucial for calculating area and volume in the given exercises. ##### Follow-Up Problem ##### 27. The box with dimensions indicated is to be constructed.
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