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?

Answer 1

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

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

First, we need to calculate the volume of the wooden block. The volume \( V \) of a rectangular block can be found using the formula:

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

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

Now, plug in the values:

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

Calculating the volume:

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

Now, we need to find the density. Given that the mass of the block is 20 kg, we need to convert this mass to grams since we are working with cubic centimeters. (1 kg = 1000 g):

\[
\text{Mass} = 20 \, \text{kg} = 20,000 \, \text{g}
\]

Now we can calculate the density:

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

Calculating the density:

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

Thus, the density of the wooden block is approximately **4.63 g/cm³**.