Mass / Weight
Volume / Capacity
Length / Distance
Mass and weight are similar ideas.
They both tell about how much matter is in an item. The difference is that mass does not change due to gravity, but weight is measured using gravity (like the apple on the scale). Think about it: you would weigh less on the moon, but your mass would be the same.
Volume and capacity are similar ideas.
Volume describes the amount of space that something takes up, whereas capacity describes the space in a container that can contain (hold) a substance.
Length and distance are similar ideas.
Length is usually used when referring to the long side of something, and it implies straightness. Distance simply means how far two points are from each other.