Question

correct the statement
correct each of the following statements, and briefly explain your corrections.
density is a ratio of a substances volume to its mass.
if you have equal volumes of two different substances, the denser substance is lighter.
the solid form of any substance is denser than its liquid form.
if an objects volume increases but its mass stays the same, its density will increase.
if you cut an object in half, its density will decrease by half

Explanation:

1. Density is defined as mass per unit volume. So the correct statement should be "Density is a ratio of a substance's mass to its volume." because density $

ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

1. Using the density formula $

ho=\frac{m}{V}$, when $V$ is the same for two substances, the one with greater density $
ho$ has a greater mass $m$. So the correct statement is "If you have equal volumes of two different substances, the denser substance is heavier."

1. Water is an exception. Ice (solid - water) is less dense than liquid water. So the correct statement is "The solid form of most substances is denser than its liquid form, but not all."
2. From the density formula $

ho=\frac{m}{V}$, if $m$ is constant and $V$ increases, $
ho$ will decrease. So the correct statement is "If an object's volume increases but its mass stays the same, its density will decrease."

1. Density is an intensive property of a substance, which means it does not depend on the amount of the substance. So the correct statement is "If you cut an object in half, its density will remain the same."

Answer:

1. Density is a ratio of a substance's mass to its volume.
2. If you have equal volumes of two different substances, the denser substance is heavier.
3. The solid form of most substances is denser than its liquid form, but not all.
4. If an object's volume increases but its mass stays the same, its density will decrease.
5. If you cut an object in half, its density will remain the same.