To calculate the density of the wooden block, you can use the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
- First, calculate the volume of the block. The formula for the volume of a rectangular prism is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given:
- Length = 12 cm
- Width = 20 cm
- Height = 18 cm
\[ \text{Volume} = 12 , \text{cm} \times 20 , \text{cm} \times 18 , \text{cm} = 4320 , \text{cm}^3 \]
- Next, we need the mass in grams since the options for density are in \( \text{g/cm}^3 \):
- Mass = 20 kg = 20,000 g (since 1 kg = 1000 g)
- Now, we can calculate the density:
\[ \text{Density} = \frac{20000 , \text{g}}{4320 , \text{cm}^3} \approx 4.63 , \text{g/cm}^3 \]
So, the density of the wooden block is approximately 4.63 g/cm³.
The correct response is:
4.63 g/cm³