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
Related questions
Question
![### Cube Volume Calculation
**Question:**
What is the total volume of the cube below?
**Diagram:**
The image shows a 3-dimensional cube. The cube is divided into smaller unit cubes. Each face of the larger cube is divided into a 5x5 grid, making a total of \( 5 \times 5 \times 5 \) smaller cubes.
**Answer Choices:**
- 125 cu.
- 64 cu.
- 512 cu.
- 27 cu.
### Explanation:
To find the volume of a cube, use the formula:
\[ \text{Volume} = \text{side length}^3 \]
In this case, the side length (number of smaller cube units along one edge) is 5. Therefore,
\[ \text{Volume} = 5^3 = 125 \]
**Correct Answer:**
- **125 cu.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e4c2504-a404-4a5a-a28b-2890154f0d9e%2Feed74526-2756-4717-a695-eb045e79785c%2Fudp0xmk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Cube Volume Calculation
**Question:**
What is the total volume of the cube below?
**Diagram:**
The image shows a 3-dimensional cube. The cube is divided into smaller unit cubes. Each face of the larger cube is divided into a 5x5 grid, making a total of \( 5 \times 5 \times 5 \) smaller cubes.
**Answer Choices:**
- 125 cu.
- 64 cu.
- 512 cu.
- 27 cu.
### Explanation:
To find the volume of a cube, use the formula:
\[ \text{Volume} = \text{side length}^3 \]
In this case, the side length (number of smaller cube units along one edge) is 5. Therefore,
\[ \text{Volume} = 5^3 = 125 \]
**Correct Answer:**
- **125 cu.**
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