Question

a block of wood has a volume of 380 cubic centimeters and weighs 0.240 kilogram. what is its density? will it float in water? the density of the block of wood is $square\frac{g}{cm^{3}}$. (round to two decimal places as needed.)

Explanation:

Step1: Convert mass to grams

Since 1 kg = 1000 g, then 0.240 kg = 0.240×1000 = 240 g.

Step2: Calculate density

The formula for density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given $m = 240$ g and $V=380$ cm³, so $
ho=\frac{240}{380}\approx0.63$ g/cm³.

Step3: Determine if it floats in water

The density of water is approximately 1 g/cm³. Since the density of the wood (0.63 g/cm³) is less than the density of water, the wood will float.

Answer:

The density of the block of wood is 0.63 $\frac{g}{cm^{3}}$. It will float in water.