you have 5 blocks that are the same size (all blocks have a volume of 3 liters), but different masses (as…

you have 5 blocks that are the same size (all blocks have a volume of 3 liters), but different masses (as shown). which blocks will float in this water tank? explain your reasoning.
Answer
Explanation:
Step1: Recall density - floatation relationship
An object floats if its density $\rho$ is less than the density of water $\rho_{water}= 1\ kg/L$. The density formula is $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Calculate density of the block
Given $V = 3\ L$. For a block of mass $m$, $\rho=\frac{m}{3\ L}$. For the $2 - kg$ block: $\rho_1=\frac{2\ kg}{3\ L}\approx0.67\ kg/L$. Since $\rho_1 = 0.67\ kg/L<1\ kg/L$, it will float. For the $5 - kg$ block: $\rho_2=\frac{5\ kg}{3\ L}\approx1.67\ kg/L$. Since $\rho_2=1.67\ kg/L > 1\ kg/L$, it will sink. We need to calculate the density for all 5 blocks in the same way (but only two are shown in the image, assuming the same process for the other three). Blocks with density less than $1\ kg/L$ will float.
Answer:
The blocks with density less than $1\ kg/L$ will float. For example, the $2 - kg$ block will float as its density is approximately $0.67\ kg/L$.