The Chinese word for cutting board is
砧板

zhēn bǎn

Chinese Definition

Components
砧
1. base for beating or chopping
2. stone base for beating clothes
3. anvil
4. base for cutting or lethal sentence
5. base in general
6. (Hakka) to hold one's hands in closed fists and to strike with phalanx
板
1. plank; board
木板 - board; plank
玻璃板 - glass board
2. blackboard
板報
3. sluggish; stiff; inflexible
呆板 - sluggish
古板 - stuffy; old-fashioned and inflexible
4. to harden; hardened
5. (internet) board (sub-unit of a larger BBS or imageboard)
6. (music) clapper
7. (music) beat; meter; rhythm (in music or Chinese opera)
行板 - andante
散sǎn板 - sanban
8. to look serious or displeased
9. (literary or Min Nan) wooden coffin
10. (Min Nan) ability; capability; talent
11. (Suzhou) to have to; must
噶聲閒話板是俚說噶。 - That voice must be his., W-SZ, ref=1993, 蘇州方言詞典, page 19
12. Variant of 闆