Question

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

Answer 1

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