Question

question 4 of 5

select the correct answer.

the volume of a cube is 64 cubic centimeters. what is the length of each edge of the cube?

6 centimeters
4 centimeters
2 centimeters
8 centimeters

Explanation:

🆕 New Concept Discovered: Volume of a Cube
Finding the side length from the volume

Step 1: Set up the volume formula

A cube is a special rectangular prism where all three dimensions (length, width, and height) are equal to the edge length, \( s \).

The formula for the volume \( V \) of a cube is:

$$ V = s^3 $$

Given that the volume is \( 64\text{ cubic centimeters} \):

$$ s^3 = 64 $$

Step 2: Solve for the edge length

To find the edge length \( s \), we need to find the cube root of \( 64 \). This means finding a number that, when multiplied by itself three times, equals \( 64 \):

$$ s = \sqrt[3]{64} $$

Since \( 4 \times 4 \times 4 = 64 \):

$$ s = 4\text{ centimeters} $$

Answer:

4 centimeters