Question

What is the calculation of the density of a wooden block with a length of 12 cm, width of 20 cm, height of 18 cm, and a mass of 20 kilograms?(1 point)
Responses

463 g/cm3
463 g per cm cubed

46.3 g/cm3
46.3 g per cm cubed

5.89 g/cm3
5.89 g per cm cubed

4.63 g/cm3
4.63 g per cm cubed

Answer 1

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:

1. **Volume** = length × width × height

Given the dimensions:
- Length = 12 cm
- Width = 20 cm
- Height = 18 cm

Calculating the volume:

\[ \text{Volume} = 12\, \text{cm} \times 20\, \text{cm} \times 18\, \text{cm} = 4320\, \text{cm}^3 \]

Next, use the mass of the block to calculate density:

Given:
- Mass = 20 kg = 20,000 grams (since 1 kg = 1000 grams)

Now calculate the density:

\[ \text{Density} = \frac{20,000\, \text{g}}{4320\, \text{cm}^3} \]

Calculating the density:

\[ \text{Density} \approx 4.63086\, \text{g/cm}^3 \]

Rounding gives approximately:

\[ 4.63\, \text{g/cm}^3 \]

Thus, the answer is:

**4.63 g/cm³**.