Answer
a. Orange block is denser
b. Can not be determined
c. Blue block is denser
d. Blue block is denser
Work Step by Step
We will use the formula:
$$\text{density}=\frac{\text{mass}}{\text{volume}}.$$
a. The orange block has a smaller volume, yet it has higher mass; this means that the density of the orange block must be higher than the blue block.
b. The orange block has more volume and more mass than the blue block so it might be that the orange block is denser but it is also possible that the density of blue block is higher but due to lower volume it is not heavier than orange block. It cannot be determined which block is denser.
c. The volume of blue block is lower, yet they have equal mass this means that the density of the blue block must be higher than the one of the orange block.
d. Both have the same volume, yet the blue block is heavier; this means that the density of blue block is higher.
