Use tables to give the answers to the following correct to 3 significant figure use the value 0.4971for log where necessary.calculate the volume of a cube of edge 8 .24cm

1 answer

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 \(558 , \text{cm}^3\).