Question

A carver begins work on the following block of granite that weighs 2700 g. The dimensions of the block are 20 cm, 5 cm and 10 cm. What is the density of the granite in g/cm³?

Answer 1

Answer:

$\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} \text { . }$

Explanation:

Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, $\rho=\frac{m}{v}$ where, “m" mass of an object and "v" is volume of an object.

Given that,

Dimensions of the block are 20 cm, 5 cm and 10 cm.

$\text { Volume of the block is } l \times b \times h$

$\text { Volume of the block is } 20 \times 5 \times 10$

$\text { Volume of the block is } 1000 \mathrm{cm}^{3} \text { . }$

Mass of the block is 2700 g.

Substitute the given values in $\rho=\frac{m}{v}$ to find density of a block.

$\rho=\frac{2700}{1000}$

$\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}$

$\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3}$