To calculate the volume of a cube, you can use the formula:
\[ \text{Volume} = \text{edge}^3 \]
Given that the edge length of the cube is \(8.24 , \text{cm}\), we can calculate the volume:
Step 1: Calculate the Volume
\[ \text{Volume} = (8.24 , \text{cm})^3 \]
Step 2: Perform the Calculation
Calculating \(8.24 \times 8.24 = 67.8176\)
Then, \(67.8176 \times 8.24 = 558.153664 , \text{cm}^3\)
Step 3: Round to Three Significant Figures
The volume rounded to three significant figures is:
\[ \text{Volume} \approx 558 , \text{cm}^3 \]
Summary Table
| Description | Calculation | Result (3 SF) | |--------------------------------|------------------------------|-------------------------------| | Edge Length | \(8.24 , \text{cm}\) | | | Volume Calculation | \((8.24 , \text{cm})^3\) | \(558.153664 , \text{cm}^3\)| | Volume (Rounded to 3 SF) | | \(558 , \text{cm}^3\) |
Thus, the volume of the cube is \(558 , \text{cm}^3\).
1 answer