Question

A cube of wood has side lengths of 3cm. The mass is 27g. What is the density of the block?

Question 12 options:

21 g/cm³


9 g/cm³


3 g/cm³


1 g/cm

Answer 1

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

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

First, we need to find the volume of the cube. The volume \( V \) of a cube is calculated using the formula:

\[
V = \text{side length}^3
\]

Given that the side length of the cube is 3 cm:

\[
V = 3 \, \text{cm} \times 3 \, \text{cm} \times 3 \, \text{cm} = 27 \, \text{cm}^3
\]

Now that we have the volume, we can calculate the density using the mass of the cube, which is 27 g:

\[
\text{Density} = \frac{27 \, \text{g}}{27 \, \text{cm}^3} = 1 \, \text{g/cm}^3
\]

So the density of the block is **1 g/cm³**.

Therefore, the correct option is:

**1 g/cm³**