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 5.89 g/cm3 5.89 g/cm3 4.63 g/cm3 4.63 g/cm3 46.3 g/cm3 46.3 g/cm3 463 g/cm3

Answer 1

To calculate the density of the wooden block, you can use the formula:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

First, let's find the volume of the wooden block. The volume \( V \) can be calculated using the formula for the volume of a rectangular prism:

\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]

In this case:

- Length = 12 cm
- Width = 20 cm
- Height = 18 cm

Calculating the volume:

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

Now, we can find the density by using the mass of the wooden block, which is given as 20 kg. Note that we need to convert the mass from kilograms to grams since we want the density in g/cm³.

\[
20 \, \text{kg} = 20000 \, \text{g}
\]

Now, we can calculate the density:

\[
\text{Density} = \frac{20000 \, \text{g}}{4320 \, \text{cm}^3} \approx 4.63 \, \text{g/cm}^3
\]

Thus, the density of the wooden block is approximately:

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