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 0.63 $\frac{g}{cm^{3}}$. (round to two decimal places as needed.) will the block of wood float in water? a. the block will float since its density is greater than 1 $\frac{g}{cm^{3}}$. b. the block will float since its density is less than 1 $\frac{g}{cm^{3}}$. c. the block will sink since its density is greater than 1 $\frac{g}{cm^{3}}$. d. the block will sink since its density is less than 1 $\frac{g}{cm^{3}}$.

Explanation:

Step1: Convert mass to grams

Since 1 kilogram = 1000 grams, 0.240 kg = 0.240×1000 = 240 g.

Step2: Calculate density

The density formula is $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given $m = 240$ g and $V=380$ $cm^{3}$, then $
ho=\frac{240}{380}\approx0.63$ $\frac{g}{cm^{3}}$.

Step3: Determine floating - sinking

The density of water is 1 $\frac{g}{cm^{3}}$. If an object's density is less than the density of water, it will float. Since 0.63 $\frac{g}{cm^{3}}$ < 1 $\frac{g}{cm^{3}}$, the block of wood will float.

Answer:

B. The block will float since its density is less than 1 $\frac{g}{cm^{3}}$