
die Kappe
cap
A head covering with a brim, worn especially in leisure time, similar to a baseball cap.
Er trägt bei Sonnenschein immer eine Kappe.
He always wears a cap when it's sunny.
cap
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cap
A head covering with a brim, worn especially in leisure time, similar to a baseball cap.
Er trägt bei Sonnenschein immer eine Kappe.
He always wears a cap when it's sunny.

cap / lid
A small lid or cover used to close pens, bottles, or other openings.
Vergiss nicht, die Kappe wieder auf den Stift zu stecken.
Don't forget to put the cap back on the pen.

to take the blame
To take responsibility or blame for something.
Den Fehler nehme ich voll auf meine Kappe.
I'll take full blame for the mistake.
The meaning of 'Kappe' (cap) becomes clear from the verb in the sentence. Verbs like 'tragen' (to wear), 'aufsetzen' (to put on), or 'aufhaben' (to have on) refer to the head covering. Verbs like 'aufstecken' (to put on), 'zuschrauben' (to screw on), or 'abnehmen' (to take off) refer to the lid.
Bei dem Wind hat er seine Kappe fest aufgesetzt.
In that wind, he put his cap on tightly.
When 'Kappe' (cap) means a head covering, it is often used with the verbs 'tragen' (to wear), 'aufhaben' (to have on; state), or 'aufsetzen' (to put on; action).
Er trägt fast immer eine Kappe, auch im Haus.
He almost always wears a cap, even indoors.
When 'Kappe' (cap/lid) means a lid, it is often connected with the object that it closes. Typical formulations are 'die Kappe auf den Stift stecken' (to put the cap on the pen) or 'die Kappe von der Flasche nehmen' (to take the cap off the bottle).
Nach dem Schreiben solltest du die Kappe wieder auf den Stift stecken.
After writing, you should put the cap back on the pen.
The idiom 'etwas auf seine Kappe nehmen' (to take the blame/responsibility for something) is a fixed structure. The possessive pronoun ('seine') is adapted to the person taking responsibility.
Das war mein Fehler, das nehme ich auf meine Kappe.
That was my mistake; I'll take the blame for it.
lid / cap
Deckel and Kappe can both refer to a small cover used to close an opening. “Kappe” is especially suitable for small, often protective closures on pens or bottles; “Deckel” more often refers to a cover over an opening. The usual product name is often a deciding factor.

Nach dem Trinken setzte sie die Kappe wieder auf die kleine Flasche.
After drinking, she put the cap back on the small bottle.
Nach dem Trinken setzte sie den Deckel wieder auf den Behälter.
After drinking, she put the lid back on the container.